Question

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

Answer 1

Given:

The number of sides of given polygon = 4

To find the sum of the interior angles of the polygon.

Formula

The sum of interior angles of any polygon is

`Sum = (n-2)(180^\circ)`

where, n be the number of sides of the polygon.

Now,

Taking n = 4 we get,

`Sum = (4-2)(180^\circ)`

or,
`Sum = 2(180^\circ)`

or,
`Sum = 360^\circ`

Hence,

The sum of the interior angles of the polygon is 360°.