Polygon Angle Sum Theorem Worksheet

b. Find the measure of one interior angle for the regular polygon.

Find the sum of all the exterior angles of the polygon.

Answer explanation

The formula to find the sum of the interior angles of a polygon with n sides is (n-2) * 180 degrees

How many sides does a polygon have if the sum of its interior angles is 1800 degrees?

• 12

• 10

• 14

• 11

Answer explanation

A polygon with 12 sides has interior angles summing up to 1800°. Each interior angle of a regular polygon with n sides is given by (n-2)*180/n. So, for n=12, the sum is 1800°.

What is the sum of the interior angles of a pentagon?

• 540°

• 360°

• 720°

• 180°

Tags

DOK Level 1: Recall

The sum of the exterior angles of a polygon is __________________ where n is the number of sides.

• 360

• n

• (n - 2)180

• (n - 1)180

What is the sum of the measures of the exterior angles of a decagon?

• 1440⁰

• 360⁰

• 144⁰

• 1800⁰

• 10

• 12

• 14

• 16

Find the value of x.

• 87°

• 54°

• 101°

• 92°

Tags

CCSS.HSG.CO.C.11

Calculate the sum of the interior angles of a 12-sided polygon.

• 1800°

• 1440°

• 1620°

• 2160°

Tags

DOK Level 1: Recall