In a regular polygon,adjacent interior and exterior angle are congruent.What is the name of the polygon?

Question

A. Triangle

B.rectangle

C.Square

D.hexagon

Answer 1

Each interior angle has measure (n-2)(180) / n degrees and eqch exterior angle has measure 360 / n degrees, where n is the number of sides.

So, (n-2)(180) = 360. Therefore, n = 4.

The only rectangle that is a regular polygon is a square.

In a square, adjacent interior and exterior angles are both right angles.