Question

how many sides does a regular polygon have if the measure of an exterior angle is24°

Answer 1

Answer:

A regular polygon has 4 to 8 sides.

It is of 360 degrees.

If it's exterior angle is of 24 degree

then it's interior angle will be of = 180-24 degrees =156 degrees .

Answer 2

Answer:

A regular polygon have 15 sides.

Step-by-step explanation:

Given,

Exterior angle = 24 °

we know that,

sum of exterior angle = 360 °

we assume sides as ' x '

24 * x = 360

24x = 360

x = 360 / 24

x = 15.

Therefore,

A regular polygon have 15 sides.