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Angles

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Angle sum

There are 360° in a complete turn.

there are 360 degrees in a full turn

There are 180° in half a turn (a straight line).

There are 180 degrees in half a turn
Question

Find the size of angle z:

Shows a circle split into 4. There is an unknown angle, marked as Z, a 40 degree angle, a 110 degree angle, and a 130 degree angle
Answer

There are 360° in a complete turn, so z + 40 + 110 + 130 = 360
z + 280 = 360
z = 80°

Question

What is the size of angle p?

Shows half a circle, split into two. One angle, P, is unknown and the other is 140 degrees
Answer

The angles on a straight line add up to 180°, so p + 140 = 180.
p = 40°

Angles in a triangle

The angles in a triangle add up to 180°

Angles in a quadrilateral

The angles in a quadrilateral add up to 360°.

This works for any quadrilateral. Again, you can try this for yourself with a piece of paper!

Activity

Angles activity

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