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6th Grade Angles Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 6th Grade angles worksheet.

Success TutoringWorksheetsAnswer sheet6th Grade · Mathematics · Angles

6th Grade Angles Worksheet — Level 3 — Practice Set 4 — Answers

State the angle rule you use.

1.An isosceles triangle has an apex angle of 47°. Find each base angle.

Answer: 66.5°

  1. Base angles are equal: (180 − 47) ÷ 2
  2. = 133 ÷ 2 = 66.5
2.Three angles meet at a point: 58°, 153° and x°. Find x.

Answer: x = 149

  1. Angles at a point add to 360°
  2. x = 360 − 58 − 153 = 149
3.An isosceles triangle has an apex angle of 22°. Find each base angle.

Answer: 79°

  1. Base angles are equal: (180 − 22) ÷ 2
  2. = 158 ÷ 2 = 79
4.Two angles of a triangle are 91° and 105°. Find the third angle.

Answer: -16°

  1. Angles in a triangle add to 180°
  2. 180 − 91 − 105 = -16
5.An isosceles triangle has an apex angle of 69°. Find each base angle.

Answer: 55.5°

  1. Base angles are equal: (180 − 69) ÷ 2
  2. = 111 ÷ 2 = 55.5
6.An isosceles triangle has an apex angle of 66°. Find each base angle.

Answer: 57°

  1. Base angles are equal: (180 − 66) ÷ 2
  2. = 114 ÷ 2 = 57
7.Two angles of a triangle are 109° and 117°. Find the third angle.

Answer: -46°

  1. Angles in a triangle add to 180°
  2. 180 − 109 − 117 = -46
8.An isosceles triangle has an apex angle of 38°. Find each base angle.

Answer: 71°

  1. Base angles are equal: (180 − 38) ÷ 2
  2. = 142 ÷ 2 = 71
9.Two angles on a straight line are 26° and x°. Find x.

Answer: x = 154

  1. Angles on a straight line add to 180°
  2. x = 180 − 26 = 154
10.Two angles on a straight line are 103° and x°. Find x.

Answer: x = 77

  1. Angles on a straight line add to 180°
  2. x = 180 − 103 = 77
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