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.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.Three angles meet at a point: 113°, 121° and x°. Find x.
Answer: x = 126
- Angles at a point add to 360°
- x = 360 − 113 − 121 = 126
3.Two angles on a straight line are 94° and x°. Find x.
Answer: x = 86
- Angles on a straight line add to 180°
- x = 180 − 94 = 86
4.Three angles meet at a point: 129°, 103° and x°. Find x.
Answer: x = 128
- Angles at a point add to 360°
- x = 360 − 129 − 103 = 128
5.Two angles on a straight line are 58° and x°. Find x.
Answer: x = 122
- Angles on a straight line add to 180°
- x = 180 − 58 = 122
6.An isosceles triangle has an apex angle of 28°. Find each base angle.
Answer: 76°
- Base angles are equal: (180 − 28) ÷ 2
- = 152 ÷ 2 = 76
7.Two angles of a triangle are 56° and 66°. Find the third angle.
Answer: 58°
- Angles in a triangle add to 180°
- 180 − 56 − 66 = 58
8.Two angles of a triangle are 23° and 94°. Find the third angle.
Answer: 63°
- Angles in a triangle add to 180°
- 180 − 23 − 94 = 63
9.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
10.An isosceles triangle has an apex angle of 29°. Find each base angle.
Answer: 75.5°
- Base angles are equal: (180 − 29) ÷ 2
- = 151 ÷ 2 = 75.5
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