Question

-. Find the measure of an exterior angle of a regular polygon having
(a) 15 sides
(b) 18 sides​

Answer 1

Answer:

(a)24°

(b)20°

Step-by-step explanation:

(a)Measure of an exterior angle=360°/no. of sides

=360°/15

=24°

(b)Measure of an exterior angle=360°/no. of sides

=360°/18

=20°

Answer 2

Answer:

Step-by-step explanation:

A)Sum of all exterior angles in a polygon is 360°

Find one exterior angle:

Given that there are 15 sides

One exterior angle = 360 ÷ 15

One exterior angle = 24°

B)the sum of the exterior angles is ALWAYS 360°

So you can find the size of the exterior angles of a regular polygon quite easily:

If there are 18 sides

Here n=8

, then each exterior angle is:

360°/n

=360°/8°=20°

The sum of the exterior and interior angles is

180°,because they are adjacent angles on a straight line.

◆each interior angle is

180°−20°=160°