Question

complete the following activity to find number of sides of a regular polygon if each of its interior angles 3π^c/5​

Answer 1

Answer:

We know that the sum of an interior angle and an exterior angle of a polygon is equal to 180°.

As interior angles are 162°, each exterior angle is 180°- 162° = 18°

Sum of all the exterior angles of a polygon is always 360o and as each exterior angle is 18°

The number of angles/sides of the polygon are 360°/18° = 20

Hence, the number of sides of the given polygon is 20.

Step-by-step explanation: