Year 7 Angles Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
State the angle rule you use.
1.Three angles meet at a point: 127°, 108° and x°. Find x.
Answer: x = 125
- Angles at a point add to 360°
- x = 360 − 127 − 108 = 125
2.Two angles of a triangle are 53° and 56°. Find the third angle.
Answer: 71°
- Angles in a triangle add to 180°
- 180 − 53 − 56 = 71
3.An isosceles triangle has an apex angle of 63°. Find each base angle.
Answer: 58.5°
- Base angles are equal: (180 − 63) ÷ 2
- = 117 ÷ 2 = 58.5
4.Two angles of a triangle are 32° and 88°. Find the third angle.
Answer: 60°
- Angles in a triangle add to 180°
- 180 − 32 − 88 = 60
5.An isosceles triangle has an apex angle of 56°. Find each base angle.
Answer: 62°
- Base angles are equal: (180 − 56) ÷ 2
- = 124 ÷ 2 = 62
6.Two angles of a triangle are 87° and 111°. Find the third angle.
Answer: -18°
- Angles in a triangle add to 180°
- 180 − 87 − 111 = -18
7.Three angles meet at a point: 88°, 112° and x°. Find x.
Answer: x = 160
- Angles at a point add to 360°
- x = 360 − 88 − 112 = 160
8.Two angles on a straight line are 83° and x°. Find x.
Answer: x = 97
- Angles on a straight line add to 180°
- x = 180 − 83 = 97
9.Two angles of a triangle are 54° and 93°. Find the third angle.
Answer: 33°
- Angles in a triangle add to 180°
- 180 − 54 − 93 = 33
10.Three angles meet at a point: 54°, 145° and x°. Find x.
Answer: x = 161
- Angles at a point add to 360°
- x = 360 − 54 − 145 = 161
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