Success TutoringWorksheets

Year 6 Angles Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 6 angles worksheet.

Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Angles

Year 6 Angles Worksheet — Level 3 — Answers

State the angle rule you use.

1.An isosceles triangle has an apex angle of 58°. Find each base angle.

Answer: 61°

  1. Base angles are equal: (180 − 58) ÷ 2
  2. = 122 ÷ 2 = 61
2.Two angles of a triangle are 59° and 88°. Find the third angle.

Answer: 33°

  1. Angles in a triangle add to 180°
  2. 180 − 59 − 88 = 33
3.An isosceles triangle has an apex angle of 60°. Find each base angle.

Answer: 60°

  1. Base angles are equal: (180 − 60) ÷ 2
  2. = 120 ÷ 2 = 60
4.Two angles on a straight line are 111° and x°. Find x.

Answer: x = 69

  1. Angles on a straight line add to 180°
  2. x = 180 − 111 = 69
5.Two angles on a straight line are 145° and x°. Find x.

Answer: x = 35

  1. Angles on a straight line add to 180°
  2. x = 180 − 145 = 35
6.Two angles of a triangle are 97° and 47°. Find the third angle.

Answer: 36°

  1. Angles in a triangle add to 180°
  2. 180 − 97 − 47 = 36
7.An isosceles triangle has an apex angle of 78°. Find each base angle.

Answer: 51°

  1. Base angles are equal: (180 − 78) ÷ 2
  2. = 102 ÷ 2 = 51
8.Two angles of a triangle are 89° and 50°. Find the third angle.

Answer: 41°

  1. Angles in a triangle add to 180°
  2. 180 − 89 − 50 = 41
9.Two angles of a triangle are 119° and 118°. Find the third angle.

Answer: -57°

  1. Angles in a triangle add to 180°
  2. 180 − 119 − 118 = -57
10.Two angles on a straight line are 149° and x°. Find x.

Answer: x = 31

  1. Angles on a straight line add to 180°
  2. x = 180 − 149 = 31
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.