Question

The sum of the interior angles of a regular polygon is one thousand eight hundred degrees. What is the measure of each exterior angle of the polygon?

One hundred fifty degrees
One hundred eight degrees
Sixty degrees
Thirty degrees

Answer 1

hint sum of exterior angles = 360 degrees

Answer 2

I know that already but I'm still confused :(

Answer 3

In a regular polygon, all interior angles are congruent.
Also, the sum of the measures of the interior angles of a polygon of n sides is 180(n - 2)

Answer 4

In the figure above, x represents the measure of one interior angle. y is the measure of one exterior angle.

Answer 5

I learned all this information from my lesson but I just don't know the answer :(

Answer 6

Look at the formula of the sum of the measures of the interior angles.
S = 180(n - 2)
You know S, the sum. If you plug it in, you can find the number of the sides, n.

Answer 7

if exterior angle = x
n = no.of sides

nx = 360
180(n - 2) = 1080

Answer 8

180(n - 2) = 1800
Solve for n to find the number of sides in the polygon.

Answer 9

how do I solve for n?

Answer 10

180(n - 2) = 1800
First, divide both sides by 180.

Answer 11

ok I did that now what?