Question

A regular polygon could not have an interior angle measure of _____.

A.

45º
B.

90º
C.

150º
D.

160º

Answer 1

A. 45°

Explanation:

The smallest interior angle measure of any regular polygon is that of an equilateral triangle: 60°.

___

The corresponding exterior angle measure for interior angle x will be its supplement: 180° -x. This value must be a divisor of 360° 360° is not evenly divisible by 180°-45°=135°.