Question

Penn used the formula for the sum of the angles inside a polygon: sum of the interior angles `(n -2)180`, where `n` is the number of angles of the polygon. Penn's answer is `1,980` degrees. How many angles does the polygon have?

Answer 1

Polygon has `13` angles.

Explanation:

It is apparent from the statement in the question that sum of the interior angles of the polygon is `(n-2)180^o`

and as Penn has worked it out as `1,980^o`

`(n-2)xx180=1980`

and `n-2=1980/180=11`

hence `n=11+2=13` and hence

Polygon has `13` angles.