Question

A polygon has interior angles of 162°. How many sides does it have?

Answer 1

If all interior angles are `162^o`, polygon has `20` sides.

Explanation:

Questioner has mentioned that a polygon has interior angles of `162^o`. It is assumed from this that all interior angles are `162^o`.

As interior angles are `162^o`, each exterior angle is `180^o-162^o=18^o`.

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

Number of angles / sides of polygon are `360^o/18^o=20`