Success TutoringWorksheets

8th Grade Angles Worksheet — Level 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 — Answers

State the angle rule you use.

1.Two angles of a triangle are 64° and 96°. Find the third angle.

Answer: 20°

  1. Angles in a triangle add to 180°
  2. 180 − 64 − 96 = 20
2.An isosceles triangle has an apex angle of 32°. Find each base angle.

Answer: 74°

  1. Base angles are equal: (180 − 32) ÷ 2
  2. = 148 ÷ 2 = 74
3.Three angles meet at a point: 118°, 111° and x°. Find x.

Answer: x = 131

  1. Angles at a point add to 360°
  2. x = 360 − 118 − 111 = 131
4.Three angles meet at a point: 110°, 155° and x°. Find x.

Answer: x = 95

  1. Angles at a point add to 360°
  2. x = 360 − 110 − 155 = 95
5.An isosceles triangle has an apex angle of 62°. Find each base angle.

Answer: 59°

  1. Base angles are equal: (180 − 62) ÷ 2
  2. = 118 ÷ 2 = 59
6.Three angles meet at a point: 106°, 65° and x°. Find x.

Answer: x = 189

  1. Angles at a point add to 360°
  2. x = 360 − 106 − 65 = 189
7.Two angles of a triangle are 54° and 80°. Find the third angle.

Answer: 46°

  1. Angles in a triangle add to 180°
  2. 180 − 54 − 80 = 46
8.Two angles on a straight line are 129° and x°. Find x.

Answer: x = 51

  1. Angles on a straight line add to 180°
  2. x = 180 − 129 = 51
9.Two angles on a straight line are 76° and x°. Find x.

Answer: x = 104

  1. Angles on a straight line add to 180°
  2. x = 180 − 76 = 104
10.Three angles meet at a point: 74°, 127° and x°. Find x.

Answer: x = 159

  1. Angles at a point add to 360°
  2. x = 360 − 74 − 127 = 159
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.