Question

The interior angle of a regular polygon is 4 times as large as the exterior angle.

Work out the size of the exterior angle.

Answer 1

exterior angle = 36°

Explanation:

In any polygon

exterior angle + interior angle = 180°

let x be the exterior angle then interior angle is 4x , then

x + 4x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus exterior angle = 36°