Question

Determine the value of x, the exterior angle of the regular polygon.

Answer 1

51.4°

Step-by-step explanation:

The number of sides of the given polygon = 7

To find the sum of angles in this polygon, we use the expression below;

(N - 2) x 180;

N is the number of sides

So,

Sum of angles here = (7-2) x 180

= 5 x 180

= 900°

Each angle will be
`(900)/(7)` = 128.6°

Since angle x is on a straight line with one of the interior angles;

Angle on a straight line = 180°

128.6 + x = 180

x = 180 - 128.6 = 51.4°