Diagonals Interior and Exterior Angles of Polygons

How many diagonals are there in a polygon that has 20 sides?

• 100

• 170

• 200

• 270

What is the name of the segment that connects two nonconsecutive vertices of a polygon?

• Angle

• Diagonal

• Side

• Vertices

What is the formula of finding the number of diagonals in a polygon?

Which formula represents how to find the interior angle sum of any polygon?

• (number of sides - 2) x 180

• (number of sides + 2) x 180

• number of sides x 180

• number of sides x 360

Find the sum of the angles of a 17-gon.

Mathematical Equivalence

ON

Find the value of x.

• 110

• 90

• 130

• 120

The sum of the interior angles in a polygon is 3,240^o.  How many sides are in the polygon?

• 10

• 582,840

• 18

• 20

Given a regular polygon. Find the value of x.

If an exterior angle of a regular polygon measures 40°, how many sides does the polygon have?

• 9 sides

• 18 sides

• 4 sides

• 13 sides

What is the SUM of the angle measures in a nonagon (9 sides)?

• 1440°

• 900°

• 1080°

• 1260°