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Simple angle facts
There are 360° in a complete turn. So in half a turn there are 180°, and in a quarter of a turn 90°.
We sometimes call a quarter of a turn a right angle, and mark it with a square.
We can use these facts to solve simple problems. Here are some examples:
- Question
Find angle a in this diagram:
- Answer
The answer is 110°.
All the angles add up to 360° (a complete turn).
So a = 360° - 60° - 100° - 90° = 110°.
Remember that a right angle (90°) can be marked with a square.
- Question
Find angle b in this diagram.
- Answer
The answer is 100°.
The angles make a straight line (half a turn).
So b = 180° - 50° - 30° = 100°.
- Question
Find angle c in this diagram.
- Answer
The answer is 70°.
The two angles make a right angle.
So c = 90° - 20° = 70°
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On bbc.co.uk
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