Question

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

Answer 1

`1440^(\circ)`

Explanation:

Given : a polygon

To find : Sum of the measures of the interior angles of a polygon with n number of sides

A polygon is a two dimensional formed with straight lines.

For example: triangle, quadrilateral , hexagon etc.

Sum of the measures of the interior angles of a polygon with n number of sides =
`\left ( n-2 \right )180^(\circ)`

Number of sides in a given polygon = 10

So, put n = 10 in
`\left ( n-2 \right )180^(\circ)` .

Therefore, sum of the measures of the interior angles of a polygon =
`\left ( 10-2 \right )180^(\circ)=8* 180^(\circ)=1440^(\circ)`