Year 6 Angles Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 6 angles worksheet.
Year 6 Angles Worksheet — Level 3 — Practice Set 4 — Answers
State the angle rule you use.
1.Two angles on a straight line are 156° and x°. Find x.
Answer: x = 24
- Angles on a straight line add to 180°
- x = 180 − 156 = 24
2.Three angles meet at a point: 94°, 42° and x°. Find x.
Answer: x = 224
- Angles at a point add to 360°
- x = 360 − 94 − 42 = 224
3.Two angles of a triangle are 47° and 27°. Find the third angle.
Answer: 106°
- Angles in a triangle add to 180°
- 180 − 47 − 27 = 106
4.Two angles on a straight line are 127° and x°. Find x.
Answer: x = 53
- Angles on a straight line add to 180°
- x = 180 − 127 = 53
5.Three angles meet at a point: 96°, 111° and x°. Find x.
Answer: x = 153
- Angles at a point add to 360°
- x = 360 − 96 − 111 = 153
6.Two angles of a triangle are 33° and 28°. Find the third angle.
Answer: 119°
- Angles in a triangle add to 180°
- 180 − 33 − 28 = 119
7.Two angles of a triangle are 26° and 74°. Find the third angle.
Answer: 80°
- Angles in a triangle add to 180°
- 180 − 26 − 74 = 80
8.An isosceles triangle has an apex angle of 42°. Find each base angle.
Answer: 69°
- Base angles are equal: (180 − 42) ÷ 2
- = 138 ÷ 2 = 69
9.Two angles on a straight line are 51° and x°. Find x.
Answer: x = 129
- Angles on a straight line add to 180°
- x = 180 − 51 = 129
10.Two angles on a straight line are 72° and x°. Find x.
Answer: x = 108
- Angles on a straight line add to 180°
- x = 180 − 72 = 108
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.