Year 5 Angles Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 5 angles worksheet.
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
- Angles at a point add to 360°
- x = 360 − 115 − 111 = 134
2.An isosceles triangle has an apex angle of 41°. Find each base angle.
Answer: 69.5°
- Base angles are equal: (180 − 41) ÷ 2
- = 139 ÷ 2 = 69.5
3.Three angles meet at a point: 128°, 158° and x°. Find x.
Answer: x = 74
- Angles at a point add to 360°
- x = 360 − 128 − 158 = 74
4.Two angles on a straight line are 30° and x°. Find x.
Answer: x = 150
- Angles on a straight line add to 180°
- x = 180 − 30 = 150
5.Two angles on a straight line are 112° and x°. Find x.
Answer: x = 68
- Angles on a straight line add to 180°
- x = 180 − 112 = 68
6.Three angles meet at a point: 104°, 136° and x°. Find x.
Answer: x = 120
- Angles at a point add to 360°
- x = 360 − 104 − 136 = 120
7.An isosceles triangle has an apex angle of 32°. Find each base angle.
Answer: 74°
- Base angles are equal: (180 − 32) ÷ 2
- = 148 ÷ 2 = 74
8.Two angles on a straight line are 119° and x°. Find x.
Answer: x = 61
- Angles on a straight line add to 180°
- x = 180 − 119 = 61
9.Two angles of a triangle are 105° and 39°. Find the third angle.
Answer: 36°
- Angles in a triangle add to 180°
- 180 − 105 − 39 = 36
10.Two angles on a straight line are 57° and x°. Find x.
Answer: x = 123
- Angles on a straight line add to 180°
- x = 180 − 57 = 123
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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