Angles of Polygons

Find the sum of the measures of the interior angles of a heptagon

• 900°

• 1080°

• 1260°

• 1440°

Find the sum of the measures of the interior angles of a decagon

• 1440°

• 1260°

• 1620°

• 1800°

The measure of an interior angle of a regular polygon is 108. Find the number of sides in the polygon.

• 5

• 6

• 7

• 8

The measure of an interior angle of a regular polygon is 150. Find the number of sides in the polygon.

• 12

• 10

• 8

• 15

Find the value of x.

• x = 30

• x = 45

• x = 60

• x = 90

Find the value of x.

• x = 20

• x = 15

• x = 25

• x = 10

What is the measure of each interior angle of a regular pentagon?

• 108 degrees

• 120 degrees

• 100 degrees

• 90 degrees

What is the measure of each interior angle of a regular dodecagon?

• 150 degrees

• 120 degrees

• 135 degrees

• 160 degrees

(Challenge) In Ms. Rickets’ math class, students made a “polygon path” that consists of regular polygons of 3, 4, 5, and 6 sides joined together as shown.

Find m∠2 and m∠5.

• m∠2 = 120 degrees, m∠5 = 108 degrees

• m∠2 = 90 degrees, m∠5 = 120 degrees

• m∠2 = 108 degrees, m∠5 = 90 degrees

• m∠2 = 135 degrees, m∠5 = 100 degrees

(Challenge Extra Credit) POLYGON PATH: In Ms. Rickets’ math class, students made a “polygon path” that consists of regular polygons of 3, 4, 5, and 6 sides joined together as shown. b. Find m∠3 and m∠4.

• m∠3 = 90 degrees, m∠4 = 108 degrees

• m∠3 = 120 degrees, m∠4 = 135 degrees

• m∠3 = 60 degrees, m∠4 = 90 degrees

• m∠3 = 108 degrees, m∠4 = 120 degrees