Year 7 Angles Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 angles worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · AnglesYear 7 Angles Worksheet — Level 3 — Practice Set 3 — Answers
State the angle rule you use.
1.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
2.Two angles of a triangle are 111° and 52°. Find the third angle.
Answer: 17°
- Angles in a triangle add to 180°
- 180 − 111 − 52 = 17
3.An isosceles triangle has an apex angle of 33°. Find each base angle.
Answer: 73.5°
- Base angles are equal: (180 − 33) ÷ 2
- = 147 ÷ 2 = 73.5
4.Two angles on a straight line are 125° and x°. Find x.
Answer: x = 55
- Angles on a straight line add to 180°
- x = 180 − 125 = 55
5.Two angles of a triangle are 36° and 23°. Find the third angle.
Answer: 121°
- Angles in a triangle add to 180°
- 180 − 36 − 23 = 121
6.Three angles meet at a point: 52°, 100° and x°. Find x.
Answer: x = 208
- Angles at a point add to 360°
- x = 360 − 52 − 100 = 208
7.Two angles of a triangle are 80° and 110°. Find the third angle.
Answer: -10°
- Angles in a triangle add to 180°
- 180 − 80 − 110 = -10
8.Two angles on a straight line are 110° and x°. Find x.
Answer: x = 70
- Angles on a straight line add to 180°
- x = 180 − 110 = 70
9.Three angles meet at a point: 119°, 52° and x°. Find x.
Answer: x = 189
- Angles at a point add to 360°
- x = 360 − 119 − 52 = 189
10.An isosceles triangle has an apex angle of 72°. Find each base angle.
Answer: 54°
- Base angles are equal: (180 − 72) ÷ 2
- = 108 ÷ 2 = 54
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