Success TutoringWorksheets

Year 5 Angles Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 5 angles worksheet.

Success TutoringWorksheetsAnswer sheetYear 5 · Mathematics · Angles

Year 5 Angles Worksheet — Level 3 — Answers

State the angle rule you use.

1.Three angles meet at a point: 115°, 111° and x°. Find x.

Answer: x = 134

  1. Angles at a point add to 360°
  2. x = 360 − 115 − 111 = 134
2.An isosceles triangle has an apex angle of 41°. Find each base angle.

Answer: 69.5°

  1. Base angles are equal: (180 − 41) ÷ 2
  2. = 139 ÷ 2 = 69.5
3.Three angles meet at a point: 128°, 158° and x°. Find x.

Answer: x = 74

  1. Angles at a point add to 360°
  2. x = 360 − 128 − 158 = 74
4.Two angles on a straight line are 30° and x°. Find x.

Answer: x = 150

  1. Angles on a straight line add to 180°
  2. x = 180 − 30 = 150
5.Two angles on a straight line are 112° and x°. Find x.

Answer: x = 68

  1. Angles on a straight line add to 180°
  2. x = 180 − 112 = 68
6.Three angles meet at a point: 104°, 136° and x°. Find x.

Answer: x = 120

  1. Angles at a point add to 360°
  2. x = 360 − 104 − 136 = 120
7.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
8.Two angles on a straight line are 119° and x°. Find x.

Answer: x = 61

  1. Angles on a straight line add to 180°
  2. x = 180 − 119 = 61
9.Two angles of a triangle are 105° and 39°. Find the third angle.

Answer: 36°

  1. Angles in a triangle add to 180°
  2. 180 − 105 − 39 = 36
10.Two angles on a straight line are 57° and x°. Find x.

Answer: x = 123

  1. Angles on a straight line add to 180°
  2. x = 180 − 57 = 123
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.