Question

What is the sum of the interior angles of the polygon shown below?

Answer 1

Given:

Polygon

To find:

The sum of the interior angles of the polygon.

Solution:

Number of sides = 7

Sum of the interior angles formula:

$\text{Sum}=(n-2)\times 180^\circ$

Substitute n = 7 in the formula.

      $=(7-2)\times 180^\circ$

      $=5\times 180^\circ$

      $=900^\circ$

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