# Angles in a Quadrilateral Total 360°

Angles in a Quadrilateral Total 360°

The sum of the angles in a quadrilateral is 360° regardless of the positions of the vertices.

When the quadrilateral crosses itself, think of it of as being folded over the diagonal . (The other diagonal could be used instead.) Then the angle (and ) overlaps itself and the common part is counted twice.

B

D

A

C

A

B

C

C

D

A