Page 1

Question 1

What is the formula to find the sum of all of the interior angles in a regular polygon?

Answer 1

Sum = (n - 2)180

N is number of sides

Question 2

What is the sum of all of the interior angles of a 12-gon?

Answer 2

1,800 degrees

One interior angle is 150 degrees

Question 3

What is the sum of all of the interior angles of a 102-gon?

Answer 3

18,000

One interior angle is ~176.5 degrees

Question 4

What is the sum of all of the interior angles of a 90-gon?

Answer 4

15,840

One interior angle is 176 degrees

Question 5

What is the sum of all of the interior angles of a 36-gon?

Answer 5

6,120

One interior angle is 170 degrees

Question 6

How do you find the measure of one of the interior angles of a regular polygon, given the sum of all interior angles and the total number of sides?

Answer 6

Take the sum of all of the interior angles, and then divide it by the total number of sides

Example - The sum of all of the sides in a 12-gon is 1,800. To find the measure of one angle, do 1,800/12 = 150

Question 7

How do you find the number of sides in a regular polygon, given the measure of ONE INTERIOR ANGLE?

Answer 7

180 - interior angle measure = exterior angle measure

360/exterior angle measure = number of sides

Question 8

How do you find the measure of ONE EXTERIOR ANGLE, given the measure of ONE INTERIOR ANGLE?

Answer 8

180 - interior angle measure

Question 9

How do you find the number of sides in a regular polygon, given the measure of ONE EXTERIOR ANGLE?

Answer 9

360/measure of one exterior angle

Question 10

If the measure of ONE INTERIOR ANGLE in a regular polygon is 174 degrees, how many sides are in the polygon?

Answer 10

180 - 174 = 6

The measure of one exterior angle is 6 degrees

360/6 = 60

There are 60 sides in the polygon

Question 11

If the measure of ONE INTERIOR ANGLE in a regular polygon is 156 degrees, how many sides are in the polygon?

Answer 11

180 - 156 = 24

The measure of one exterior angle is 24 degrees

360/24 = 15

There are 15 sides in the polygon

Question 12

If the measure of ONE INTERIOR ANGLE in a regular polygon is 165 degrees, how many sides are in the polygon?

Answer 12

180 - 165 = 15

The measure of one exterior angle is 15 degrees

360/15 = 24

There are 24 sides in the polygon

Question 13

If the measure of ONE INTERIOR ANGLE in a regular polygon is 177.5 degrees, how many sides are in the polygon?

Answer 13

180 - 177.5 = 2.5

The measure of one exterior angle is 2.5 degrees

360/2.5 = 144

There are 144 sides in the polygon

Question 14

If the measure of ONE EXTERIOR ANGLE in a regular polygon is 12 degrees, how many sides are in the polygon?

Answer 14

360/12 = 30

There are 30 sides in the polygon

Question 15

If the measure of ONE EXTERIOR ANGLE in a regular polygon is 45 degrees, how many sides are in the polygon?

Answer 15

360/45 = 8

There are 8 sides in the polygon

Question 16

If the measure of ONE EXTERIOR ANGLE in a regular polygon is 18 degrees, how many sides are in the polygon?

Answer 16

360/18 = 20

There are 20 sides in the polygon

Question 17

If the measure of ONE EXTERIOR ANGLE in a regular polygon is 14.4 degrees, how many sides are in the polygon?

Answer 17

360/14.4 = 25

There are 25 sides in the polygon