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7th Grade Angles Worksheet — Level 3 — Practice Set 2 — Answers

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

Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Angles

7th Grade Angles Worksheet — Level 3 — Practice Set 2 — Answers

State the angle rule you use.

1.Two angles of a triangle are 120° and 81°. Find the third angle.

Answer: -21°

  1. Angles in a triangle add to 180°
  2. 180 − 120 − 81 = -21
2.Three angles meet at a point: 67°, 109° and x°. Find x.

Answer: x = 184

  1. Angles at a point add to 360°
  2. x = 360 − 67 − 109 = 184
3.Two angles on a straight line are 113° and x°. Find x.

Answer: x = 67

  1. Angles on a straight line add to 180°
  2. x = 180 − 113 = 67
4.An isosceles triangle has an apex angle of 70°. Find each base angle.

Answer: 55°

  1. Base angles are equal: (180 − 70) ÷ 2
  2. = 110 ÷ 2 = 55
5.Three angles meet at a point: 49°, 68° and x°. Find x.

Answer: x = 243

  1. Angles at a point add to 360°
  2. x = 360 − 49 − 68 = 243
6.An isosceles triangle has an apex angle of 36°. Find each base angle.

Answer: 72°

  1. Base angles are equal: (180 − 36) ÷ 2
  2. = 144 ÷ 2 = 72
7.Three angles meet at a point: 135°, 46° and x°. Find x.

Answer: x = 179

  1. Angles at a point add to 360°
  2. x = 360 − 135 − 46 = 179
8.Two angles of a triangle are 23° and 104°. Find the third angle.

Answer: 53°

  1. Angles in a triangle add to 180°
  2. 180 − 23 − 104 = 53
9.An isosceles triangle has an apex angle of 76°. Find each base angle.

Answer: 52°

  1. Base angles are equal: (180 − 76) ÷ 2
  2. = 104 ÷ 2 = 52
10.Three angles meet at a point: 40°, 50° and x°. Find x.

Answer: x = 270

  1. Angles at a point add to 360°
  2. x = 360 − 40 − 50 = 270
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