For the diagram determine the number of sides use the Polygon Angle Sum Theorem to find the sum of the interior angles

N=
Sum of Interior Angles =

1 answer

In order to determine the number of sides (N) and the sum of the interior angles, we can use the Polygon Angle Sum Theorem.

The Polygon Angle Sum Theorem states that the sum of the interior angles of a polygon with N sides can be found using the formula:

Sum of Interior Angles = (N-2) * 180

From the diagram, it appears to be a pentagon, which is a polygon with 5 sides. We can plug N=5 into the formula:

Sum of Interior Angles = (5-2) * 180
Sum of Interior Angles = 3 * 180
Sum of Interior Angles = 540

Therefore, the number of sides (N) is 5 and the sum of the interior angles is 540 degrees.