Question

How many sides does a regular polygon have if the measure of each exterior angle is 30 degree

Answer 1

if the measure of each exterior angle is 30 degree then interior is 150 degree. LCM of 150 and 180 is 900.

the polygon with 900 degree have 5 sides.

Answer 2

Answer:

The sum of the measures of the exterior angles of any polygon = 360°.

Given

Measure of each exterior angle = 30°

Therefore,

$Number \: of \: sides = \frac{360 °}{30° } = 12$