Question

The measure of a single angle in a regular octagon is (4x + 12)°. Find the value of x. Show equations and all work that leads to your answer.

Answer 1

If A is the interior angle of a regular polygon, then

A = 180(n-2)/n

Plug in n = 8 to get

A = 180(8-2)/8

A = 135

So an octagon has each interior angle of 135 degrees

Answer 2

each interior angle is also equal to 4x+12 degrees, so...

4x + 12 = 135

now solve for x

Answer 3

x would be 8.43?

Answer 4

no

Answer 5

I am so confused lol

Answer 6

4x + 12 = 135

4x = 135-12

4x = 123

x = ??

Answer 7

30.75?

Answer 8

better

Answer 9

x = 123/4

or

x = 30.75

Answer 10

thanks so much!

Answer 11

yw