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# How do I find out what the sum of the inner angle of a trapezium?

The sum of the inner angles in a trapezium will always be 360°. This is because it has 4 sides. This comes from the basis that the sum of inner angles in a triangle add up to 180°. If you draw a line from one corner of a quadrilateral to the opposite corner, you can see two triangles. Therefore you multiply 180 by 2. If you have any other shape with sides n, you can work out the number of triangles that will fit by doing n-2. So a shape with sides n will have inner angles that add up to 180×(n-2).

Awais Naveed
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