Question

How do you know the number of sides If you are given the number 72?

Answer 1

It’s a regular pentagon with five sides.

Explanation:

It’s is understood that the number 72 given is nothing but the exterior angle `hatE = (72^@)` of the regular polygon.

Sum of the exterior angles of a polygon equals `360^@`.

Hence if `color(purple)(N)` is the no. of sides of the polygon,

`N * 72^@ = 360^@`

No. of sides `N = 360 / 72 = 5`

Thus, it’s a regular pentagon with five sides.