Question

Angles of a polygon ​

Answer 1

The sum of the interior angles of the polygon shown is 900°.

Solution:

Number of sides of the polygon (n) = 7

Sum of interior angles of a polygon formula:

`\text {Sum}=(n-2) * 180^(\circ)`

Substitute n = 7 in the formula.

`=(7-2) * 180^(\circ)`

`=5 * 180^(\circ)`

`=900^(\circ)`

The sum of the interior angles of the polygon shown is 900°.