Interior Angles Sum Theorem for Polygons

What is the sum of the measures of the interior angles of a triangle?

• 3

• 60

• 180

• 360

What is the formula for the Polygon Interior Angle Sum Theorem?

• The measure of the largest interior angle

• The number of sides of the polygon

• Nothing

• The number of triangles that compose the polygon

What part of the Polygon Interior Angle Sum Theorem tells you how many triangles make up a particular polygon?

What is the sum of the measures of the interior angles of a quadrilateral? (Note: A quadrilateral has 4 sides.)

• 4

• 180

• 360

• 540

What is the sum of the measures of the interior angles of a pentagon. (Note: A pentagon has 5 sides.)

• 5

• 180

• 540

• 900

What is the sum of the measures of the interior angles of a hexagon? (Note: A hexagon has 6 sides.)

• 180

• 540

• 720

• 900

Using the Polygon Interior Angle Sum Theorem, what is the interior angle sum of a  9-sided irregular polygon? (Note: A nine sided figure is called a nonagon.)

Starting at one vertex, what is the maximum number of non-overlapping triangles that can be constructed within a 22-sided irregular polygon?

• 20

• 22

• 1

• 23

• 20 sides

• 21 sides

• 12 sides

• 180 sides