Question

13. How many sides does a regular polygon have if the measure of an exterior angle is 30°?​

Answer 1

Answer:

12 sides

Since all the angles are congruent, 30a=360 , and a=12 . Since a=s , s=12 , so the polygon has 12 sides.

Step-by-step explanation:

Answer 2

Answer:

Formula for doing such type of questions is

n × x = 360⁰

n is number of sides

x is exterior angle

From the question

n × 30 = 360

n = 360/30

n = 12

Therefore the number of sides in a polygon with exterior angle 30⁰ is 12.

USING THIS FORMULA YOU CAN ALSO FIND EXTERIOR ANGLE IF NUMBER OF SIDES IS GIVEN.