Question

The sum of the measures of the interior angles of a convex polygon is 540. How do you classify the polygon by the number of sides?

Answer 1

Polygon is a pentagon i.e. `5` sides.

Explanation:

If `n` are number of sides of a convex polygon, sum of its interior angles is `(n-2)xx180^@`

As in given case sum of interior angles is `540^@`, we have

`(n-2)xx180^@=540^@`

or `n-2=540/180=3`

and `n=3+2=5`

Hence, polygon is a pentagon.