6-1 Polygon Angle Sum Theorems

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

• 900°

• 720°

• 360°

• 540°

Match the number of sides of a regular polygon with the measure of each interior angle.

• 15

• 120°

• 6

• 156°

• 5

• 160°

• 18

• 108°

• 4

• 90°

Match the number of sides of a regular polygon with the measure of each exterior angle.

• 9

• 60°

• 4

• 15°

• 16

• 90°

• 24

• 40°

• 6

• 22.5°

What is the relationship between the exterior angle of a polygon and its interior angle?

• They are supplementary

• They are equal

• They are complementary

• They are parallel

Calculate the sum of the exterior angles of a decagon.

• 180°

• 270°

• 360°

• 90°

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

If a polygon has 9 sides, what is the sum of its interior angles?

• 540°

• 360°

• 720°

• 1260°

How many degrees are in each exterior angle of a regular octagon?

• 90°

• 60°

• 135°

• 45°

What is the sum of the exterior angles of a triangle?

• 180°

• 270°

• 360°

• 90°

Explain the concept of regular polygons and their interior angles.

• Regular polygons have interior angles that can be calculated using the formula (n-2) * 180 / n.

• Regular polygons have interior angles that are always 90 degrees.

• Regular polygons have interior angles that are always 45 degrees.

• Regular polygons have interior angles that are always 360 degrees.