Question

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

Answer 1

The sum of the interior angles of the polygon shown is 540 degrees

Solution:

The sum of the measures of the interior angles of a polygon with n sides is:

$Sum = (n -2) \times 180$

From given figure in question,

Number of sides in polygon = 5 ( which is a pentagon )

Therefore,

n = 5

Thus the sum of measures of interior angles is:

$Sum = (5-2) \times 180\\\\Sum = 3 \times 180\\\\Sum = 540$

Thus the sum of the interior angles of the polygon shown is 540 degrees