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.Two angles on a straight line are 28° and x°. Find x.
Answer: x = 152
- Angles on a straight line add to 180°
- x = 180 − 28 = 152
2.Three angles meet at a point: 137°, 97° and x°. Find x.
Answer: x = 126
- Angles at a point add to 360°
- x = 360 − 137 − 97 = 126
3.Two angles of a triangle are 23° and 85°. Find the third angle.
Answer: 72°
- Angles in a triangle add to 180°
- 180 − 23 − 85 = 72
4.Three angles meet at a point: 119°, 53° and x°. Find x.
Answer: x = 188
- Angles at a point add to 360°
- x = 360 − 119 − 53 = 188
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.An isosceles triangle has an apex angle of 70°. Find each base angle.
Answer: 55°
- Base angles are equal: (180 − 70) ÷ 2
- = 110 ÷ 2 = 55
7.Two angles on a straight line are 60° and x°. Find x.
Answer: x = 120
- Angles on a straight line add to 180°
- x = 180 − 60 = 120
8.Three angles meet at a point: 76°, 56° and x°. Find x.
Answer: x = 228
- Angles at a point add to 360°
- x = 360 − 76 − 56 = 228
9.Two angles on a straight line are 92° and x°. Find x.
Answer: x = 88
- Angles on a straight line add to 180°
- x = 180 − 92 = 88
10.An isosceles triangle has an apex angle of 54°. Find each base angle.
Answer: 63°
- Base angles are equal: (180 − 54) ÷ 2
- = 126 ÷ 2 = 63
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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