The Polygon Angle-Sum Theorems

Find the measure of ONE interior angle of a regular dodecagon.

• 150
• 120
• 1800
• 20

Find the value of the variable(s).

• x = 50, y = 69
• x = 100, y = 50
• x = 100, y = 69
• x = 50, y = 50

A polygon with six sides is called a(n) ______________.

• hexagon
• pentagon
• decagon
• septagon

A polygon with 5 sides is called a(n) _____________.

• pentagon
• hexagon
• septagon
• quadrilateral

A polygon with 8 sides is called a(n) __________________.

• octagon
• decagon
• heptagon
• dodecagon

The sum of the interior angles of a polygon is __________________ where n is the number of sides.

• (n - 2)180
• (n - 1)180
• 360
• (n - 3)(180)

The sum of the exterior angles of a polygon is __________________ where n is the number of sides.

• 360
• n
• (n - 2)180
• (n - 1)180

Find the sum of the interior angles of a nonagon.

• 1260
• 900
• 1620
• 180

Find the value of x

• 87°
• 54°
• 101°
• 92°

Find the measure of ONE exterior angle of a regular decagon.

• 36
• 10
• 18
• 40