Interior/Exterior Angles of a Polygon

What is the measure of the largest exterior angle that any regular polygon can have?

• 60º

• 90º

• 120º

• 360º

What is the difference between the sum of the measures of the interior angles of a regular pentagon and the sum of the measures of the exterior angles of a regular pentagon?

• 36

• 72

• 108

• 180

A regular polygon with an exterior angle of 40° is a:

• pentagon

• hexagon

• nonagon

• decagon

In which polygon does the sum of the measures of the interior angles equal the sum of the measures of the exterior angles?

• triangle

• hexagon

• octagon

• rectangle

The pentagon in the diagram is formed by five rays. What is the degree measure of angle x?

• 72

• 96

• 108

• 112

The measures of five of the interior angles of a hexagon are 150°, 100°, 80°, 165°, and 150°. What is the measure of the sixth interior angle?

• 75°

• 80°

• 105°

• 180°

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

• 90°

• 108°

• 120°

• 180°

Find the value of x.

• 25

• 36

• 94

• 180

Find the measure of angle K.

• 9°

• 48°

• 79°

• 97°

Which of the following formulas could be used to find S, the measure of one interior angle of a regular n-gon?

• S = (n - 2)180

• S = (n - 180)2

• S = (n - 2)180 / n

• S = (n - 180)2 / n