Never mind, I worked it out and found out the answer is 15.
The problem states: Find the number of sides in a regular polygon if the measure of an interior angle exceeds 6 times the measure of an exterior angle by 12. I wrote this formula: 180 - x = 6x + 12. In the back of the book, they say the answer is 15, but I get a different answer when I work it out. Do I have the wrong formula?
Hello, Motherof8!
According to your equation, = exterior angle.
Did you mean that?
Let: = interior angle.Find the number of sides in a regular polygon if the measure of an interior angle
exceeds 6 times the measure of an exterior angle by 12.
Then: = exterior angle.
. .
We have: .
Hence: . each interior angle is 156°.
A regular polygon of sides has an interior angle of: / degrees.
So we have: .
Therefore: . The polygon has 15 sides.
Edit: You got it . . . Good for you!