2023 Interior and Exterior Angles

Match the following.

• one exterior angle measure of a regular polygon

• sum of the interior angle measure

• one interior angle measure of a regular polygon

• n

• sum of the exterior angle measure

• the number of sides of a regular polygon

Answer explanation

Be sure to add your formulas to your formula sheet. "n" represents the number of sides.

What is the sum of the measures of the interior angles of a pentagon in degrees?

Mathematical Equivalence

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What is the sum of the measures of the interior angles of a 27-gon in degrees?

What is the measure of EACH interior angle of a regular octagon in degrees?

What is the measure of EACH interior angle of a regular 20-gon in degrees?

• 7

• 9

• 11

• 13

• 22

• 24

• 26

• 28

What is the sum of the measures of the exterior angles of a nonagon in degrees?

Answer explanation

It does not matter what type of polygon you have. Exterior angle sum will always be 360 degrees.

What is the measure of each exterior angle of a regular 20-gon in degrees?