Question

Question 61
Fill in the blanks to make the statements true.
The number of sides of a regular polygon, where each exterior angle has a measure of ${36}^{\circ }$, is ___.

Answer 1

We know that the sum of exterior angles of a regular polygon is ${360}^{\circ }$.
Given, the measure of each exterior angle = ${36}^{\circ }$

Number of sides
$=\frac{{360}^{\circ }}{Exteriorangle}$

$=\frac{{360}^{\circ }}{{36}^{\circ }}=10$.