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Complementary, Supplementary, & Vertical Angles
The geometry worksheets on this page can be used to introduce and review the concepts of complementary, supplementary angles, and vertical angles.
Most worksheets on this page align with Common Core Standard 7.G.B.5.
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Complementary & Supplementary Angles
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Complementary Angles
Supplementary angles, adding adjacent angles together.
Here you'll find a collection of printables for teaching students how to measure angles with a protractor.
This page has many worksheets on calculating the areas of triangles.
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7.1.2: Adjacent Angles
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Let's look at some special pairs of angles.
Exercise \(\PageIndex{1}\): Estimating Angle Measures
Estimate the degree measure of each indicated angle.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e25c8fb873f2a5bcc2f4a84673123be0f.png](https://math.libretexts.org/@api/deki/files/39944/clipboard_e25c8fb873f2a5bcc2f4a84673123be0f.png?revision=1)
Exercise \(\PageIndex{2}\): Cutting Rectangles
Your teacher will give you two small, rectangular papers.
1. On one of the papers, draw a small half-circle in the middle of one side.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e10c49d68e2ecab13d270a3df2677d336.png](https://math.libretexts.org/@api/deki/files/39945/clipboard_e10c49d68e2ecab13d270a3df2677d336.png?revision=1)
2. Cut a straight line, starting from the center of the half-circle, all the way across the paper to make 2 separate pieces. (Your cut does not need to be perpendicular to the side of the paper.)
3. On each of these two pieces, measure the angle that is marked by part of a circle. Label the angle measure on the piece.
4. What do you notice about these angle measures?
5. Clare measured 70 degrees on one of her pieces. Predict the angle measure of her other piece.
6. On the other rectangular paper, draw a small quarter-circle in one of the corners.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e6f11b7f3de3e43192824bbf8d824da4a.png](https://math.libretexts.org/@api/deki/files/39946/clipboard_e6f11b7f3de3e43192824bbf8d824da4a.png?revision=1)
7. Repeat the previous steps to cut, measure, and label the two angles marked by part of a circle.
8. What do you notice about these angle measures?
9. Priya measured 53 degrees on one of her pieces. Predict the angle measure of her other piece.
Exercise \(\PageIndex{3}\): Is It a Complement or Supplement?
1. Use the protractor in the picture to find the measure of angles \(BCA\) and \(BCD\).
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e77eed75285e4e283f5e472f8c4d5f649.png](https://math.libretexts.org/@api/deki/files/39947/clipboard_e77eed75285e4e283f5e472f8c4d5f649.png?revision=1)
2. Explain how to find the measure of angle \(ACD\) without repositioning the protractor.
3. Use the protractor in the picture to find the measure of angles \(LOK\) and \(LOM\).
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_ea3fdf1479780fc9689c9f8659c0b935a.png](https://math.libretexts.org/@api/deki/files/39948/clipboard_ea3fdf1479780fc9689c9f8659c0b935a.png?revision=1)
4. Explain how to find the measure of angle \(KOM\) without repositioning the protractor.
5. Angle \(BAC\) s a right angle. Find the measure of angle \(CAD\).
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e4531fd8ecb197ffe92a2b151a46a581c.png](https://math.libretexts.org/@api/deki/files/39949/clipboard_e4531fd8ecb197ffe92a2b151a46a581c.png?revision=1)
6. Point \(O\) is on line \(RS\). Find the measure of angle \(SOP\).
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e496b5951f64f3777a865f920e76feee6.png](https://math.libretexts.org/@api/deki/files/39950/clipboard_e496b5951f64f3777a865f920e76feee6.png?revision=1)
Are you ready for more?
Clare started with a rectangular piece of paper. She folded up one corner, and then folded up the other corner, as shown in the photos.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e20a1e3be96837b34f1bd8438ac9001ef.png](https://math.libretexts.org/@api/deki/files/39951/clipboard_e20a1e3be96837b34f1bd8438ac9001ef.png?revision=1)
- Try this yourself with any rectangular paper. Fold the left corner up at any angle, and then fold the right corner up so that the edges of the paper meet.
- Clare thought that the angle at the bottom looked like a 90 degree angle. Does yours also look like it is 90 degrees?
- Can you explain why the bottom angle always has to be 90 degrees? Hint: the third photo shows Clare’s paper, unfolded. The crease marks have dashed lines, and the line where the two paper edges met have a solid line. Mark these on your own paper as well.
If two angle measures add up to \(90^{\circ}\), then we say the angles are complementary . Here are three examples of pairs of complementary angles.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_ea26c19b1929cb8e358750ccb2136a587.png](https://math.libretexts.org/@api/deki/files/39954/clipboard_ea26c19b1929cb8e358750ccb2136a587.png?revision=1)
If two angle measures add up to \(180^{\circ}\), then we say the angles are supplementary . Here are three examples of pairs of supplementary angles.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e8d0eacf8aa48efd15ccd2c34d30e5fc1.png](https://math.libretexts.org/@api/deki/files/39955/clipboard_e8d0eacf8aa48efd15ccd2c34d30e5fc1.png?revision=1)
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Glossary Entries
Definition: Adjacent Angles
Adjacent angles share a side and a vertex.
In this diagram, angle \(ABC\) is adjacent to angle \(DBC\).
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e8265ae788b90b82a3658a810fda428f8.png](https://math.libretexts.org/@api/deki/files/39940/clipboard_e8265ae788b90b82a3658a810fda428f8.png?revision=1)
Definition: Complementary
Complementary angles have measures that add up to 90 degrees.
For example, a \(15^{\circ}\) angle and a \(75^{\circ}\) angle are complementary.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_edd26a7e6ec2377450e766a294138da51.png](https://math.libretexts.org/@api/deki/files/39956/clipboard_edd26a7e6ec2377450e766a294138da51.png?revision=1)
Definition: Right Angle
A right angle is half of a straight angle. It measures 90 degrees.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_eefc54dcb4dcf7013969a2356c30ee92a.png](https://math.libretexts.org/@api/deki/files/39941/clipboard_eefc54dcb4dcf7013969a2356c30ee92a.png?revision=1)
Definition: Straight Angle
A straight angle is an angle that forms a straight line. It measures 180 degrees.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e13744ef07d6796ee1e3d6d52b09c5804.png](https://math.libretexts.org/@api/deki/files/39942/clipboard_e13744ef07d6796ee1e3d6d52b09c5804.png?revision=1)
Definition: Supplementary
Supplementary angles have measures that add up to 180 degrees.
For example, a \(15^{\circ}\) angle and a \(165^{\circ}\) angle are supplementary.
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_e0bf7fce3e4107a4176f5168ad4b8b3e2.png](https://math.libretexts.org/@api/deki/files/39958/clipboard_e0bf7fce3e4107a4176f5168ad4b8b3e2.png?revision=1)
Exercise \(\PageIndex{4}\)
Angles \(A\) and \(C\) are supplementary. Find the measure of angle \(C\).
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_ed24e9646efd664d14a68d7688fcb77fc.png](https://math.libretexts.org/@api/deki/files/39960/clipboard_ed24e9646efd664d14a68d7688fcb77fc.png?revision=1)
Exercise \(\PageIndex{5}\)
- List two pairs of angles in square \(CDFG\) that are complementary.
- Name three angles that sum to \(180^{\circ}\).
![unit 6 geometry homework 2 adjacent and vertical angles clipboard_eb40c77299744ee5f43870d9dc78170ef.png](https://math.libretexts.org/@api/deki/files/39961/clipboard_eb40c77299744ee5f43870d9dc78170ef.png?revision=1)
Exercise \(\PageIndex{6}\)
Complete the equation with a number that makes the expression on the right side of the equal sign equivalent to the expression on the left side.
\(5x-2.5+6x-3=\underline{\quad}(2x-1)\)
(From Unit 6.4.5)
Exercise \(\PageIndex{7}\)
Match each table with the equation that represents the same proportional relationship.
- \(y=1.25x\)
(From Unit 2.2.1)
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Unit 2: Angles
About this unit.
In this topic, we will learn what an angle is and how to label, measure and construct them. We will also explore special types of angles.
Angle introduction
- Angles: introduction (Opens a modal)
- Naming angles (Opens a modal)
- Angle basics review (Opens a modal)
- Angle basics 4 questions Practice
- Name angles 4 questions Practice
Measuring angles
- Measuring angles in degrees (Opens a modal)
- Measuring angles using a protractor (Opens a modal)
- Measuring angles using a protractor 2 (Opens a modal)
- Measuring angles review (Opens a modal)
- Measure angles 4 questions Practice
Constructing angles
- Constructing angles (Opens a modal)
- Constructing angles review (Opens a modal)
- Draw angles 7 questions Practice
Angles in circles
- Angle measurement & circle arcs (Opens a modal)
- Angles in circles word problems (Opens a modal)
- Angles in circles 7 questions Practice
Angle types
- Recognizing angles (Opens a modal)
- Drawing acute, right and obtuse angles (Opens a modal)
- Identifying an angle (Opens a modal)
- Angle types review (Opens a modal)
- Angle types 4 questions Practice
- Recognize angles in figures 4 questions Practice
- Draw right, acute, and obtuse angles 7 questions Practice
- Benchmark angles 7 questions Practice
Vertical, complementary, and supplementary angles
- Complementary & supplementary angles (Opens a modal)
- Complementary and supplementary angles review (Opens a modal)
- Vertical angles review (Opens a modal)
- Angle relationships example (Opens a modal)
- Vertical angles are congruent proof (Opens a modal)
- Identifying supplementary, complementary, and vertical angles 7 questions Practice
- Complementary and supplementary angles (visual) 4 questions Practice
- Complementary and supplementary angles (no visual) 7 questions Practice
- Vertical angles 4 questions Practice
Angles between intersecting lines
- Angles, parallel lines, & transversals (Opens a modal)
- Parallel & perpendicular lines (Opens a modal)
- Missing angles with a transversal (Opens a modal)
- Parallel lines & corresponding angles proof (Opens a modal)
- Missing angles (CA geometry) (Opens a modal)
- Proving angles are congruent (Opens a modal)
- Proofs with transformations (Opens a modal)
- Angle relationships with parallel lines 7 questions Practice
- Line and angle proofs 4 questions Practice
Sal's old angle videos
- Intro to angles (old) (Opens a modal)
- Angles (part 2) (Opens a modal)
- Angles (part 3) (Opens a modal)
- Angles formed between transversals and parallel lines (Opens a modal)
- Angles of parallel lines 2 (Opens a modal)
- The angle game (Opens a modal)
- The angle game (part 2) (Opens a modal)
- Acute, right, & obtuse angles (Opens a modal)
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Unit 6geometry Homework 2 Adjacent And Vertical Angles
Displaying all worksheets related to - Unit 6geometry Homework 2 Adjacent And Vertical Angles .
Worksheets are Vertical angles and adjacent angles, Vertical angles a, Adjacent and vertical angles, Types of angles, Geometry part 1 lines and angles, Name the relationship complementary supplementary vertical or, Angle relationship practice, Chapter 7 homework solutions.
Click on pop-out icon or print icon to worksheet to print or download.
1. VERTICAL ANGLES AND ADJACENT ANGLES
2. vertical angles (a), 3. 7.1 adjacent and vertical angles, 4. types of angles, 5. geometry (part 1) lines and angles, 6. name the relationship: complementary, supplementary, vertical, or adjacent., 7. angle relationship practice, 8. chapter 7 homework solutions.
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Homework 2 Vertical And Adjacent Angles
Displaying top 8 worksheets found for - Homework 2 Vertical And Adjacent Angles .
Some of the worksheets for this concept are Proofs using special angle pairs work answers, Types of angles, Math 8 name classify date block, Name the relationship complementary linear pair, Name an angle pair that satisfies each, Adjacent and vertical angles, Angles and angle measure 15 section angles, Examview.
Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.
1. Proofs using special angle pairs worksheet answers
2. types of angles, 3. math 8 name classify angles. date: block:, 4. name the relationship: complementary, linear pair ..., 5. name an angle pair that satisfies each condition., 6. 7.1 adjacent and vertical angles, 7. sec. 1.2 angles and angle measure 15 section 1.2 angles ..., 8. examview.
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Unit 6, Lesson 2: Adjacent and Vertical Angles. Unit 6, Lesson 2: Adjacent and Vertical Angles.
It's one of these angles that it is not adjacent to. So it would be this angle right over here. So going back to the question, a vertical angle to angle EGA, well if you imagine the intersection of line EB and line DA, then the non-adjacent angle formed to angle EGA is angle DGB. Actually, what we already highlighted in magenta right over here.
So we can comfortably say that angle AED is 110 degrees. And to confirm, we can see that angles CEA and AED are supplementary, and so 180-70=110. @. 6:34. Finally, we can see that every semicircle adds up to 180 degrees, while every full circle adds up to 360 degrees. Also, every quarter circle adds up to 90 degrees.
Unit 6 - Geometry: Sample Unit Outline TOPIC HOMEWORK DAY 1 Classifying, Measuring, and Constructing Angles HW #1 DAY 2 Adjacent and Vertical Angles HW #2 DAY 3 Complementary and Supplementary Angles HW #3 DAY 4 Angles Relationships Review HW #4 DAY 5 Quiz 6-1 None DAY 6 Classifying Triangles/Triangle Sum Theorem HW #5 DAY 7 Constructing Triangles HW #6
First, let's find the measure of the pink angle: The pink and blue angles add up to 180 ∘ because they are adjacent and form a straight line. pink angle = 180 ∘ − 121 ∘ = 59 ∘. The pink and green angles also add up to 180 ∘ because they are adjacent and form a straight line too. green angle = 180 ∘ − 59 ∘ = 121 ∘. The ...
Study with Quizlet and memorize flashcards containing terms like What is a vertical angle, Vertical angles are, Adjacent angles are and more.
Study with Quizlet and memorize flashcards containing terms like adjacent angles, vertical angles, Congruent and more. ... Geometry unit 3 vocab. 8 terms. dgwilson26. Preview. Terms in this set (8) adjacent angles. 2 angles that share a common side and have the same vertex. vertical angles
Unit: Angles & Triangles Student Handout 2 ©Maneuvering the Middle LLC, 2016 Angles are _____when two lines _____. ∠A ∠B ∠D ∠C Two types of special angles are formed when two lines intersect. Use the picture above and the table to help you define and describe these types of angle pairs. 35o x 148o x VERTICAL AND ADJACENT ANGLES
Unit: Angles & Triangles Student Handout 2 ©Maneuvering the Middle LLC, 2016 Angles are _____when two lines _____. ∠A ∠B ∠D ∠C Two types of special angles are formed when two lines intersect. Use the picture above and the table to help you define and describe these types of angle pairs. 35o x 148o x VERTICAL AND ADJACENT ANGLES
Below, angles 1 and 2 are adjacent. Angles 3 and 4 are also adjacent. Adjacent angles can also be thought of as "next to" each other. Angles 1 and 2 form a straight line, so their measurements will add up to 180 ∘. This is true for angles 3 and 4, because they also form a line. But that's not all. Angles 1 and 4 also form a line.
This worksheet serves as a basic introduction to complementary angles. At the top, the concept is described. At the bottom, students are instructed to find the complement to each angle shown. 6th through 8th Grades. View PDF. Complementary Angles: Cut-and-Glue. Cut out the angle tiles at the bottom of the page.
On one of the papers, draw a small half-circle in the middle of one side. Figure 7.1.2.2 7.1.2. 2. 2. Cut a straight line, starting from the center of the half-circle, all the way across the paper to make 2 separate pieces. (Your cut does not need to be perpendicular to the side of the paper.) 3.
An angle is a shape consisting of two different rays that have the same initial point (vertex). If two angles form a linear pair, then they are supplementary; that is, the sum of their measures is 180°. Vertical angles are congruent. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. If two ...
Unit 2. Intro to mass and volume. Unit 3. Measuring angles. Unit 4. Plane figures. Unit 5. Units of measurement. Unit 6. ... Math; Basic geometry and measurement; Unit 11: Angle relationships. 1,000 possible mastery points. Mastered. ... Identifying supplementary, complementary, and vertical angles Get 5 of 7 questions to level up ...
Angle Relationships. Vertical angles -> opposite each other at the intersection and are equal. Adjacent angles -> next to each other at the intersection. Complimentary angles -> 2 angles that sum to 90. Supplementary angles -> 2 angles that sum to 180. Corresponding angles -> when the transversal cuts other lines. Learn about angle relationships.
Displaying all worksheets related to - Unit 6 Geometry Homework 2 Adjacent And Vertical Angles. Worksheets are Unit 6 notes, Vertical angles and adjacent angles, Adjacent and vertical angles, Types of angles, Angle relationship practice, Geometry unit 2 workbook, Geometry, Loudoun county public schools overview.
Math 8 - Mrs. Volpe Unit 10 - Angles 2018-2019 Name: _____ #_____ Date Lesson Topic Homework M 2/25 1 Complementary, Supplementary and Vertical Angles Lesson 1- Page 6 T 2/26 2 Complementary, Supplementary and Vertical Angles Lesson 2 - Page 10 ... 6 Unit 10 - Lesson 1 Homework 1. Complete the statement: Two parallel lines . . . a) meet ...
Study with Quizlet and memorize flashcards containing terms like Angle, Right Angle, Acute Angle and more.
Geometry (all content) 17 units · 180 skills. Unit 1. Lines. Unit 2. Angles. Unit 3. Shapes. Unit 4. Triangles. ... Unit 2: Angles. About this unit. In this topic, we will learn what an angle is and how to label, measure and construct them. ... Identifying supplementary, complementary, and vertical angles. 7 questions. Practice. Complementary ...
Displaying all worksheets related to - Unit 6geometry Homework 2 Adjacent And Vertical Angles. Worksheets are Vertical angles and adjacent angles, Vertical angles a, Adjacent and vertical angles, Types of angles, Geometry part 1 lines and angles, Name the relationship complementary supplementary vertical or, Angle relationship practice, Chapter 7 homework solutions.
Displaying top 8 worksheets found for - Homework 2 Vertical And Adjacent Angles. Some of the worksheets for this concept are Proofs using special angle pairs work answers, Types of angles, Math 8 name classify date block, Name the relationship complementary linear pair, Name an angle pair that satisfies each, Adjacent and vertical angles, Angles and angle measure 15 section angles, Examview.
2 adjacent angles that their non common sides are opposite rays. complementary angles. 2 angles who's some of their measures is 90 degrees. supplementary angles. 2 angles this sum of their measure is 180 degrees. linear pair postulate. if 2 angles for, a linear pair, then they are supplementary. Thm 2.1 Congruent segments.
UNIT 6: Two and Three-Dimensional Geometry. 5 WEEKS Test: · 7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle or no triangle. · 7.G ...