Unit 11 Part 2 - Interior/Exterior Angles Practice

Type the formula to find the sum of the interior angles of a regular polygon.

Given the polygon shown here, what is the sum of the interior angles?

• 720

• 1080

• 900

• 640

Type the formula to find an individual angle of a regular polygon.

What is the measure of each exterior angle of the regular polygon shown here? Round to the nearest hundreths.

• 51.43

• 128.58

• 128.57

• 51.44

Answer explanation

First, find the sum of all interior angles using (n-2) x 180.

Then, divide the total number of degrees by the number of vertices (angles) in the regular polygon.

You can also do this all in one step by using the formula below on your calculator:

[(n-2) x 180]/n

Please note: the number of sides and vertices is the same in a regular polygon

What is the sum of the exterior angles of an octagon?

• 180

• 360

• 1080

• 540

Answer explanation

RULE: The sum of exterior angles in any of the polygon is 360 degrees.

The sum of the measures of the interior angles is 1260°. How many sides does the polygon have?

• 7

• 8

• 9

• 6

If the measure of each interior angle of a regular polygon is 135°. How many sides does the polygon have?

• 6

• 7

• 8

• 9

The measure of one exterior angle of a regular polygon is 30°. How many sides does the polygon have?

• 11

• 12

• 13

• 14

6 of the exterior angles of a heptagon are 45°, 63°, 39°,59°, 68°, 42°. What is the measure of the missing angle?

• 34

• 41

• 38

• 44

The sum of the interior angle measures of a polygon is 4320°. How many sides does the polygon have?

• 26

• 24

• 22

• 20