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Grade 10 Interior & Exterior Angles of Polygons Worksheet with Answers

Grade 10 (US) · Year 11 (UK) · Class 10 (India) · Math

Unit 5: Polygons & CirclesPolygon AnglesCCSS G-CO.C.11

Angle sums of polygons and the interior and exterior angles of regular polygons. This free high 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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Interior & Exterior Angles of Polygons

Grade 10 · Math

Score___ / 12

Name

Class

Date

Learning goal: Polygon Angles · CCSS G-CO.C.11

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

Example

What is the sum of the interior angles of a 3-sided polygon?

Answer: 180°

  1. 1

    What is the sum of the interior angles of a 8-sided polygon?

    Answer
  2. 2

    What is the sum of the interior angles of a 20-sided polygon?

    Answer
  3. 3

    What is each interior angle of a regular 24-sided polygon?

    Answer
  4. 4

    What is each interior angle of a regular 30-sided polygon?

    Answer
  5. 5

    What is the sum of the interior angles of a 18-sided polygon?

    Answer
  6. 6

    What is each exterior angle of a regular 18-sided polygon?

    Answer
  7. 7

    What is each exterior angle of a regular 24-sided polygon?

    Answer
  8. 8

    What is each exterior angle of a regular 5-sided polygon?

    Answer
  9. 9

    What is the sum of the interior angles of a 30-sided polygon?

    Answer
  10. 10

    What is each exterior angle of a regular 10-sided polygon?

    Answer
  11. 11

    What is each interior angle of a regular 20-sided polygon?

    Answer
  12. 12

    What is each interior angle of a regular 15-sided polygon?

    Answer

★ Challenge corner for fast finishers

At a meeting, 6 people each shake hands once with everyone else. How many handshakes take place?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/10/polygon_angles

Answer key (click to show)
  1. 1.1080°
  2. 2.3240°
  3. 3.165°
  4. 4.168°
  5. 5.2880°
  6. 6.20°
  7. 7.15°
  8. 8.72°
  9. 9.5040°
  10. 10.36°
  11. 11.162°
  12. 12.156°
  13. ★15 (challenge corner)

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