Question

The measures of exterior angles of a regular polygon with n numbers of sides ____ as n increases

Answer 1

Decrease

The exterior angles of a polygon add up to 360 degrees, so the measure of each exterior angle of an n-sided regular polygon is given by 360/n. As n increases, 360/n will decrease.

Answer 2

Exterior angle = 360 / n

where n = number of sides of the regular polygon.

So when n increases, the exterior angle reduces.

So:

The measures of exterior angles of a regular polygon with n numbers of sides decreases as n increases

Hope this explains it.