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Grade 7 Complementary, Supplementary & Vertical Angles Worksheet with Answers

Grade 7 (US) · Year 8 (UK) · Class 7 (India) · Math

Unit 5: GeometryAngle RelationshipsCCSS 7.G.B.5

Using angle facts to find unknown angles and to set up and solve simple equations. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Complementary, Supplementary & Vertical Angles

Grade 7 · Math

Score___ / 12

Name

Class

Date

Learning goal: Angle Relationships · CCSS 7.G.B.5

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

Example

What is the complement of a 61° angle?

Answer: 29°

RememberAngle pairs

Complementaryadd up to 90°30° + 60° = 90°Supplementaryadd up to 180°120° + 60° = 180°Verticalopposite when lines crossthey are equal
  1. 1

    What is the supplement of a 140° angle?

    140°?
    Answer
  2. 2

    Two angles are supplementary. One is (3x + 11)° and the other is 130°. Find x.

    Show your work
    Answer
  3. 3

    What is the supplement of a 92° angle?

    92°?
    Answer
  4. 4

    What is the supplement of a 44° angle?

    44°?
    Answer
  5. 5

    What is the complement of a 8° angle?

    8°?
    Answer
  6. 6

    What is the complement of a 7° angle?

    7°?
    Answer
  7. 7

    Two lines cross. One angle is 79°. What is the angle vertically opposite it?

    79°?
    Answer
  8. 8

    Two angles are supplementary. One is (2x + 12)° and the other is 118°. Find x.

    Show your work
    Answer
  9. 9

    Two angles are supplementary. One is (2x + 20)° and the other is 114°. Find x.

    Show your work
    Answer
  10. 10

    What is the complement of a 84° angle?

    84°?
    Answer
  11. 11

    What is the supplement of a 95° angle?

    95°?
    Answer
  12. 12

    What is the complement of a 69° angle?

    69°?
    Answer

★ Challenge corner for fast finishers

On a grid, you walk from the bottom-left corner to a point 3 blocks right and 4 blocks up, moving only right or up. How many different shortest paths are there?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/7/angle_relationships

Answer key (click to show)
  1. 1.40°
  2. 2.x = 13
  3. 3.88°
  4. 4.136°
  5. 5.82°
  6. 6.83°
  7. 7.79°
  8. 8.x = 25
  9. 9.x = 23
  10. 10.6°
  11. 11.85°
  12. 12.21°
  13. ★35 (challenge corner)

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