Question

The sum of six angles of an eleven sided polygon is 100°. The other five angles are equal. Find the size of each of the equal angles?

Answer 1

The equal angles are `304°`

Explanation:

The sum of the interior angles of any polygon can be calculated from: sum`= 180°(n-2)`

For `11` sides, `n=11`

Sum of the angles `= 180° xx9 = 1620°`

Let the size of each equal angle be `x°`

`5x+100 = 1620`

`5x = 1520`

`x = 1520/5 = 304°`

Notice that this is a reflex angle.
It will be a concave polygon.