Geometry and measuresKey Stage 3

Angles in a quadrilateral

Find a missing angle in an irregular quadrilateral.

  • The four interior angles add to .
  • Add the three known angles and subtract from .
  • Do not assume any angles or sides are equal unless this is given.

Example 1

Find angle in the quadrilateral.

Add the three known angles, then subtract from 360°.
Add the three known angles, then subtract from 360°.

Example 2

Find angle in the quadrilateral.

Add the three known angles, then subtract from 360°.
Add the three known angles, then subtract from 360°.

Your turn

Question 1

Find angle in the quadrilateral.

Check answer
Add the three known angles, then subtract from 360°.
Add the three known angles, then subtract from 360°.
Question 2

Find angle in the quadrilateral.

Check answer
Add the three known angles, then subtract from 360°.
Add the three known angles, then subtract from 360°.
Question 3

Find angle in the quadrilateral.

Check answer
Add the three known angles, then subtract from 360°.
Add the three known angles, then subtract from 360°.
Question 4

Find angle in the quadrilateral.

Check answer
Add the three known angles, then subtract from 360°.
Add the three known angles, then subtract from 360°.
Question 5

Find angle in the quadrilateral.

Check answer
Add the three known angles, then subtract from 360°.
Add the three known angles, then subtract from 360°.
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