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

Question

asked Oct 28, 2021 158k views

1 Answer

Doug Sjoquist · Answer 1 · 2021-11-04T16:03:45+0000

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) * 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:

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

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