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7th Grade Angles in Polygons Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 7th Grade angles worksheet.

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7th Grade Angles in Polygons Worksheet — Level 2 — Practice Set 2 — Answers

Interior angle sum = (n − 2) × 180°. The exterior angles of any convex polygon add to 360°.

1.Find the sum of the interior angles of a 20-sided polygon.

Answer: 3,240°

  1. Angle sum = (n − 2) × 180°
  2. (20 − 2) × 180° = 3,240°
2.Find the size of each interior angle of a regular pentagon.

Answer: 108°

  1. Angle sum = (5 − 2) × 180° = 540°
  2. 540° ÷ 5 = 108°
3.Find the size of each exterior angle of a regular nonagon.

Answer: 40°

  1. Exterior angles add to 360°
  2. 360° ÷ 9 = 40°
4.Each exterior angle of a regular polygon is 12°. How many sides does it have?

Answer: 30

  1. Exterior angles add to 360°
  2. 360 ÷ 12 = 30 sides
5.Find the sum of the interior angles of a 14-sided polygon.

Answer: 2,160°

  1. Angle sum = (n − 2) × 180°
  2. (14 − 2) × 180° = 2,160°
6.Find the size of each interior angle of a regular hexagon.

Answer: 120°

  1. Angle sum = (6 − 2) × 180° = 720°
  2. 720° ÷ 6 = 120°
7.Find the size of each exterior angle of a regular pentagon.

Answer: 72°

  1. Exterior angles add to 360°
  2. 360° ÷ 5 = 72°
8.Each exterior angle of a regular polygon is 60°. How many sides does it have?

Answer: 6

  1. Exterior angles add to 360°
  2. 360 ÷ 60 = 6 sides
9.Find the sum of the interior angles of a 15-sided polygon.

Answer: 2,340°

  1. Angle sum = (n − 2) × 180°
  2. (15 − 2) × 180° = 2,340°
10.Find the size of each interior angle of a regular 24-sided polygon.

Answer: 165°

  1. Angle sum = (24 − 2) × 180° = 3,960°
  2. 3,960° ÷ 24 = 165°
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