math unit 7 retake

Sum of interior angles

(n - 2) (180)

Sum of exterior angles

360°

Interior + exterior angle of any polygon

180

One interior

180

One exterior

360

Number of sides

n

Each regular interior angle

(n - 2) 180/n

Each regularexterior angle

360/n

Square: number of sides

4

Pentagon: number of sides

5

Hexagon: number of sides

6

Heptagon: number of sides

7

Octagon: number of sides

8

Decagon: number of sides

10

Dodgecagon: number of sides

12

Nonagon: number of sides

9

If one exterior angle of a regular

polygon is 45 degrees, how many

sides does it have?

360 divides by 45 equals 8

The answer is 8

What is the value of n if one interior angle of a regular polygon is 120 degrees?

(n-2) 180

(180-360) = 120

Subtract 120 from 120 and 180

60 = 360

360 divided by 60 equals 6

6 is the answer

What is the measure of one

interior angle of a regular polygon

with 8 sides?

6×180 = 1080 divided by 8 equals 135

The answer is 135

What is the interior angle of a

regular dodecagon?

(12-2) 180 = 1800 ÷12 = 150

The answer is 150

How many degrees are in each

interior angle of a regular polygon

with 5 sides?

(5-2) 180 = 540 divided 5 equals 108

108 is answer

A polygon with equal length

sides and equal measure angles is

classified as which type of polygon?

Regular polygon

If the sum of the interior angles

of a polygon is 720 degrees, how

many sides does it have?

(6-2) 180 = 720

The answer is 6 sides

What is the measure of one

exterior angle of a regular nonagon?

360 divided by 9 equals 40

40 degrees is the answer

In a regular polygon, if one

interior angle measures 150

degrees, how many sides does it

have?

(n-2)180

(180-360) = 150

150 is subtracted in 150 and 180

360 divided 30 equals 12

The answer is 12

The number of sides of a polygon

is determined by which of the

following?

The measure of each exterior angle

Which of the following identifies

a polygon with four sides?

Quadrilateral

If a polygon has interior angles

measuring 120 degrees each, how

many sides does it have?

(6-2) 180 divided by 6 is 120

What is the measure of one

interior angle of a regular hexagon?

12

What is the total sum of the

interior angles of a polygon with 8

sides?

(8-2) 180

1080

What is an exterior angle of a

polygon with 7 sides?

360/ 7

51.43