The sum of interior angles of a regular polygon is 1800\degree1800°1800, degree.

Question

Find the measure of each interior angle of the polygon.

Answer 1

Huh?

Answer 2

The sum of interior angles of a yours regular polygon is 1800°

Use property:

Sum of interior angles = ( n - 2 ) ∙ 180°

In this case sum of interior angles = 1800°

So:

( n - 2 ) ∙ 180° = 1800°

Divide both sides by 180°

n - 2 = 10

Add 2 to both sides

n = 12

If he sum of interior angles of a yours regular polygon is 1800° then interior angles are:

Sum of interior angles / number of sides

In this case interior angles are:

1800° / 12 = 150°