Applying Properties of Angles in Polygons

What is the measure of one interior angle in a regular pentagon?

• 90°

• 108°

• 120°

• 180°

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

What polygon has a sum of interior angles of 1620?

• Undecagon

• Dodecagon

• Decagon

• Nonagon

Find the value of X.

• 100° 

• 110° 

• 150° 

• 168° 

A regular polygon has 13 sides. Find the measure of one interior angle in this polygon.

• 1980

• 143.6

• 167

• 152.3

Calculate the measure of each interior angle of a regular pentagon.

• 108 degrees

• 90 degrees

• 120 degrees

• 150 degrees

A regular polygon has 8 sides. What will be the sum of interior angles of the polygon?

• 800°

• 720°

• 360°

• 1080°

Answer explanation

The eight sided polygon is an octagon. The sum of interior angles of a regular polygon = (n-2) x 180° where n is the number of sides of the polygon. here, since n = 8 Sum of interior angles of octagon = (8-2) x 180° = 6 x 180° = 1080° hence option 4 is correct

Find the sum of the interior of angles in a dodecagon

• 1800

• 1080

• 1620

• 1260

What is the sum of interior angles for an octagon?

• 1440

• 1080

• 1800

• 135

Solve for X

• 27

• 72

• 80

• 14