Calculating Angles in Polygons

This video tutorial explains how to calculate the interior and exterior angles of regular polygons, focusing on pentagons, hexagons, and octagons. It covers the formulas for finding the sum of interior angles and the measure of each angle. The video also explains why the sum of exterior angles of any polygon is always 360 degrees, using visual aids and step-by-step calculations.

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

• 540 degrees

• 1080 degrees

• 360 degrees

• 720 degrees

How do you calculate the measure of each interior angle of a regular pentagon?

• Divide 540 by 5

• Subtract 180 from 540

• Divide 360 by 5

• Multiply 180 by 5

What is the measure of each exterior angle of a regular pentagon?

• 90 degrees

• 108 degrees

• 72 degrees

• 60 degrees

Which formula is used to find the sum of the interior angles of a polygon?

• 180n

• 360/n

• 360(n-2)

• 180(n-2)

What is the sum of the interior angles of a regular hexagon?

• 360 degrees

• 720 degrees

• 1080 degrees

• 540 degrees

How do you calculate the measure of each interior angle of a regular hexagon?

• Divide 360 by 6

• Subtract 180 from 720

• Multiply 180 by 6

• Divide 720 by 6

What is the measure of each exterior angle of a regular hexagon?

• 60 degrees

• 45 degrees

• 72 degrees

• 90 degrees

What is the sum of the interior angles of a regular octagon?

• 1440 degrees

• 720 degrees

• 1080 degrees

• 1350 degrees

How do you calculate the measure of each exterior angle of a regular octagon?

• Add 45 to 135

• Multiply 45 by 8

• Divide 360 by 8

• Subtract 135 from 180

Why is the sum of the exterior angles of any polygon always 360 degrees?

• Because they form a straight line

• Because they form a circle

• Because they are supplementary

• Because they are complementary