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8th Grade Angles Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 8th Grade angles worksheet.

Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Angles

8th Grade Angles Worksheet — Level 3 — Practice Set 3 — Answers

State the angle rule you use.

1.Three angles meet at a point: 121°, 51° and x°. Find x.

Answer: x = 188

  1. Angles at a point add to 360°
  2. x = 360 − 121 − 51 = 188
2.Two angles on a straight line are 95° and x°. Find x.

Answer: x = 85

  1. Angles on a straight line add to 180°
  2. x = 180 − 95 = 85
3.An isosceles triangle has an apex angle of 23°. Find each base angle.

Answer: 78.5°

  1. Base angles are equal: (180 − 23) ÷ 2
  2. = 157 ÷ 2 = 78.5
4.Two angles of a triangle are 105° and 64°. Find the third angle.

Answer: 11°

  1. Angles in a triangle add to 180°
  2. 180 − 105 − 64 = 11
5.Two angles on a straight line are 21° and x°. Find x.

Answer: x = 159

  1. Angles on a straight line add to 180°
  2. x = 180 − 21 = 159
6.Two angles of a triangle are 115° and 31°. Find the third angle.

Answer: 34°

  1. Angles in a triangle add to 180°
  2. 180 − 115 − 31 = 34
7.Three angles meet at a point: 54°, 149° and x°. Find x.

Answer: x = 157

  1. Angles at a point add to 360°
  2. x = 360 − 54 − 149 = 157
8.An isosceles triangle has an apex angle of 74°. Find each base angle.

Answer: 53°

  1. Base angles are equal: (180 − 74) ÷ 2
  2. = 106 ÷ 2 = 53
9.Two angles of a triangle are 45° and 119°. Find the third angle.

Answer: 16°

  1. Angles in a triangle add to 180°
  2. 180 − 45 − 119 = 16
10.An isosceles triangle has an apex angle of 57°. Find each base angle.

Answer: 61.5°

  1. Base angles are equal: (180 − 57) ÷ 2
  2. = 123 ÷ 2 = 61.5
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