SOLUTION: Please help me solve this! i have a test on this next class and i dont know how to solve it! or polygons in general! Please help! You are shown part of a convex n- gon. The pat

Click here to see ALL problems on Polygons

Question 564088: Please help me solve this! i have a test on this next class and i dont know how to solve it! or polygons in general! Please help!
You are shown part of a convex n- gon. The pattern of congruent angles continues around the polygon.Use the Polygon Exterior Angles Theorem to find the value of n. Show all of your work and explain your process..
The picture i have no idea how to upload so i will describe it. It is an open, 7 sided shape that says that every other angle is equal to 125 degrees and the other angles that are not 125 degrees are 163 degrees.
I know its difficult without the diagram but please help me!!!!!! THANKYOU SOOOOOOOO MUCH!!!!!

Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website!
If the pattern continues, then the average measure of each interior angle should be (125+163)/2 = 144. Hence, for a polygon with n sides, we have

Solving for n, we obtain n = 10.