Introduction to Polygon

The door on a spacecraft is formed with 6 straight panels that overlap to form a regular hexagon. What is the measure of ∠YXZ?

• m∠YXZ = 60⁰

• m∠YXZ = 120⁰

• m∠YXZ = 180⁰

• m∠YXZ = 220⁰

What is the Sum of Interior Angles of a Polygon?

• 180(n-2)

• 180(n-2)/n

• 360(n-2)

• 360(n-2)/n

What is the Interior Angle of a Regular Polygon?

• 180(n-2)

• 180(n-2)/n

• 360(n-2)

• 360(n-2)/n

The Sum of Exterior Angles of a Polygon.

• The sum of measure is 90⁰

• The sum of measure is 180⁰

• The sum of measure is 270⁰

• The sum of measure is 360⁰

A segment that connects any two nonconsecutive vertices is a ___________.

• Angle

• Diagonal

• Side

• Vertex

A _________ is one that is both equilateral and equiangular.

• Concave Polygon

• Convex Polygon

• Irregular Polygon

• Regular Polygon

Find the sum of the interior angle of a regular 45-gon.

• 172⁰

• 176⁰

• 7740⁰

• 8100⁰

What is the measure of each exterior angle of a dodecagon?

• 30⁰

• 36⁰

• 40⁰

• 60⁰

A _______________ is a closed plane figure formed by three or more segments that intersect only at their endpoints.

• Circle

• Line

• Point

• Polygon

Find the measure of each interior angle of a regular 45-gon.

• 172⁰

• 176⁰

• 7740⁰

• 8100⁰