Year 6 Angles Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 6 angles worksheet.
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°
- Base angles are equal: (180 − 58) ÷ 2
- = 122 ÷ 2 = 61
2.Two angles of a triangle are 59° and 88°. Find the third angle.
Answer: 33°
- Angles in a triangle add to 180°
- 180 − 59 − 88 = 33
3.An isosceles triangle has an apex angle of 60°. Find each base angle.
Answer: 60°
- Base angles are equal: (180 − 60) ÷ 2
- = 120 ÷ 2 = 60
4.Two angles on a straight line are 111° and x°. Find x.
Answer: x = 69
- Angles on a straight line add to 180°
- x = 180 − 111 = 69
5.Two angles on a straight line are 145° and x°. Find x.
Answer: x = 35
- Angles on a straight line add to 180°
- x = 180 − 145 = 35
6.Two angles of a triangle are 97° and 47°. Find the third angle.
Answer: 36°
- Angles in a triangle add to 180°
- 180 − 97 − 47 = 36
7.An isosceles triangle has an apex angle of 78°. Find each base angle.
Answer: 51°
- Base angles are equal: (180 − 78) ÷ 2
- = 102 ÷ 2 = 51
8.Two angles of a triangle are 89° and 50°. Find the third angle.
Answer: 41°
- Angles in a triangle add to 180°
- 180 − 89 − 50 = 41
9.Two angles of a triangle are 119° and 118°. Find the third angle.
Answer: -57°
- Angles in a triangle add to 180°
- 180 − 119 − 118 = -57
10.Two angles on a straight line are 149° and x°. Find x.
Answer: x = 31
- Angles on a straight line add to 180°
- x = 180 − 149 = 31
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.