Question

The number of sides of a regular polygon whose each exterior angle has a measure of ${30}^o$ is $.$

• A. $12$
• B. $6$
• C. $8$
• D. $10$

Answer 1

Answer: (A)

$12$

Sum of exterior angles of every polygon irrespective of number of its sides

$={360}^0$

As it is a regular polygon, all exterior angles are equal and are ${30}^0$

So, number of sides of the polygon

$=\frac{{360}^0}{{30}^0}=12$

Hence, this is the answer.