Year 7 Angles Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 angles worksheet.
Year 7 Angles Worksheet — Level 3 — Answers
State the angle rule you use.
1.Three angles meet at a point: 160°, 144° and x°. Find x.
Answer: x = 56
- Angles at a point add to 360°
- x = 360 − 160 − 144 = 56
2.Two angles on a straight line are 146° and x°. Find x.
Answer: x = 34
- Angles on a straight line add to 180°
- x = 180 − 146 = 34
3.Two angles on a straight line are 70° and x°. Find x.
Answer: x = 110
- Angles on a straight line add to 180°
- x = 180 − 70 = 110
4.Three angles meet at a point: 75°, 141° and x°. Find x.
Answer: x = 144
- Angles at a point add to 360°
- x = 360 − 75 − 141 = 144
5.Two angles of a triangle are 29° and 20°. Find the third angle.
Answer: 131°
- Angles in a triangle add to 180°
- 180 − 29 − 20 = 131
6.Two angles of a triangle are 97° and 92°. Find the third angle.
Answer: -9°
- Angles in a triangle add to 180°
- 180 − 97 − 92 = -9
7.An isosceles triangle has an apex angle of 20°. Find each base angle.
Answer: 80°
- Base angles are equal: (180 − 20) ÷ 2
- = 160 ÷ 2 = 80
8.Two angles on a straight line are 138° and x°. Find x.
Answer: x = 42
- Angles on a straight line add to 180°
- x = 180 − 138 = 42
9.Two angles on a straight line are 90° and x°. Find x.
Answer: x = 90
- Angles on a straight line add to 180°
- x = 180 − 90 = 90
10.Three angles meet at a point: 110°, 126° and x°. Find x.
Answer: x = 124
- Angles at a point add to 360°
- x = 360 − 110 − 126 = 124
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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