Success Homeschool

Year 7 Mathematics · Angle relationships

Name: ______________________

Date: ____________

1. Angles on a straight line add to how many degrees?
- ☐ (a) 90°
- ☐ (b) 180°
- ☐ (c) 270°
- ☐ (d) 360°
2. What type of angle measures 125°?
- ☐ (a) Acute
- ☐ (b) Right
- ☐ (c) Obtuse
- ☐ (d) Reflex
3. Two angles sit side by side on a straight line. One of them is 72°. What is the other angle?
- ☐ (a) 108°
- ☐ (b) 18°
- ☐ (c) 118°
- ☐ (d) 288°
4. Three angles meet at a point. Two of them are 100° and 120°. What is the third angle?
- ☐ (a) 60°
- ☐ (b) 40°
- ☐ (c) 160°
- ☐ (d) 140°
5. Two straight lines cross and one of the angles is 35°. How many degrees is the angle vertically opposite it?
6. Two straight lines cross and one of the angles is 35°. How many degrees is each angle next to it?
7. How many degrees are in a right angle?
8. At exactly 6:00 on an analogue clock, how many degrees apart are the hour hand and the minute hand (measuring the smaller angle)?

Answer sheet

1. 180° — A straight line is a half turn, which is 180°.
2. Obtuse — 125° is greater than 90° and less than 180°, so it is obtuse.
3. 108° — Angles on a straight line add to 180°, so 180° − 72° = 108°.
4. 140° — Angles around a point add to 360°. 100° + 120° = 220°, and 360° − 220° = 140°.
5. 35° — Vertically opposite angles are equal, so it is also 35°.
6. 145° — A neighbouring angle sits on a straight line with the 35° angle, so it is 180° − 35° = 145°.
7. 90° — A right angle is a quarter turn: 360° ÷ 4 = 90°.
8. 180° — At 6:00 the hands point in opposite directions, making a straight angle of 180°.