Interior Angles In A Polygon

Question 1

What is a polygon?

Answer 1

A shape with straight sides

Question 2

What is the calculation to find out the sum interior angles in a polygon?

Answer 2

(n-2) x 180

Question 3

Find the sum of the interior angles of a polygon with 20 sides

Answer 3

(n-2) x 180
(20-2) x 180
18 x 180 = 3,240
Sum of interior angles for a 20 sided shape = 3,240 degrees

Question 4

A regular polygon has 12 sides .
Find the size of each interior angle.

Answer 4

(n-2) x 180
(12-2) x 180
10 x 180 =1,800
1,800/12 =150
Each interior angle = 150 degrees

Question 5

How do you find the interior angle of a polygon?

Answer 5

Divide by the number of sides by total of the angle’s degrees
e.g equilateral triangle
- total is 180 degrees
- Has 3 sides
180/3 =60 = interior angle