Question

Question 80
Fill in the blanks to make the statements true.
The number of sides in a regular polygon having the measure of an exterior angle as ${72}^{\circ }$ is ___.

Answer 1

5
We know that,
the sum of exterior angles of any polygon is ${360}^{\circ }$.
The number of sides in a regular polygon $=\frac{{360}^{\circ }}{Exteriorangle}$.
$\therefore$ The number of sides in given polygon $=\frac{{360}^{\circ }}{{72}^{\circ }}=5$.