Interior/Exterior angles

Question 1

What are interior angles?

Answer 1

Interior angles of the polygon are the angles INSIDE of the shape.

Question 2

How is an interior angle formed?

Answer 2

It is formed where two sides meet at a vertex.

Question 3

How do we solve for the interior angle of a polygon?

Answer 3

(number of sides - 2) x 180= sum of interior angles

Question 4

If we are given the angle how do we find the number of sides?

Answer 4

Simple!

The equation would be- (sum of interior angles) divided by 180 plus 2

Question 5

Example on how to solve for the num. of sides given the angle

Answer 5

n= Number of sides

(n-2) x 180 = 2160

(n - 2) = 2160 ÷ 180= 12
to find the tot.= 12 + 2= 14

Therefore the total number of sides is 14

Question 6

What is an exterior angle?

Answer 6

The angle formed between the extended line and the other side of the polygon is called an exterior angle. (the angle on the outside)

Question 7

The sum of the exterior angles for a regular polygon is ___

Answer 7

360 degrees

Question 8

How do we find one exterior angle for a REGULAR polygon?

Answer 8

ITS SIMPLE MY FRIEND!

we just divide 360 by the number of sides

Question 9

How do we find one exterior angle for an IRREGULAR polygon?

Answer 9

For an irregular polygon, you would have to calculate each ext. angle = 180° - int. angle
(cuz its a straight angle)