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: 95°, 97° and x°. Find x.
Answer: x = 168
- Angles at a point add to 360°
- x = 360 − 95 − 97 = 168
2.Two angles on a straight line are 44° and x°. Find x.
Answer: x = 136
- Angles on a straight line add to 180°
- x = 180 − 44 = 136
3.An isosceles triangle has an apex angle of 55°. Find each base angle.
Answer: 62.5°
- Base angles are equal: (180 − 55) ÷ 2
- = 125 ÷ 2 = 62.5
4.Three angles meet at a point: 49°, 49° and x°. Find x.
Answer: x = 262
- Angles at a point add to 360°
- x = 360 − 49 − 49 = 262
5.Three angles meet at a point: 146°, 137° and x°. Find x.
Answer: x = 77
- Angles at a point add to 360°
- x = 360 − 146 − 137 = 77
6.Two angles of a triangle are 33° and 42°. Find the third angle.
Answer: 105°
- Angles in a triangle add to 180°
- 180 − 33 − 42 = 105
7.Two angles of a triangle are 81° and 24°. Find the third angle.
Answer: 75°
- Angles in a triangle add to 180°
- 180 − 81 − 24 = 75
8.An isosceles triangle has an apex angle of 46°. Find each base angle.
Answer: 67°
- Base angles are equal: (180 − 46) ÷ 2
- = 134 ÷ 2 = 67
9.Two angles of a triangle are 32° and 83°. Find the third angle.
Answer: 65°
- Angles in a triangle add to 180°
- 180 − 32 − 83 = 65
10.An isosceles triangle has an apex angle of 35°. Find each base angle.
Answer: 72.5°
- Base angles are equal: (180 − 35) ÷ 2
- = 145 ÷ 2 = 72.5
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