SOLUTION: One of the exterior angles of a polygon is 95 and the rest are equal each to 169. Find the number of sides of the polygon.
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Question 815739: One of the exterior angles of a polygon is 95 and the rest are equal each to 169. Find the number of sides of the polygon.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The exterior angles of a polygon add up to 360 degrees. So, if n is the number of sides, then there will be n exterior angles. One of them is 95 and the rest are 169. So:
95 + (n-1)*169 = 360
Now we just solve this for n. First we simplify the left side:
95 + 169n - 169 = 360
169n - 74 = 360
Add 74:
169n = 434
Divide by 169:
n = 434/169
n should be a positive integer. But the n we found, 434/169, is not. So something is wrong. I don't see any mistakes in the work I've done. So I suspect there is something wrong in what you posted. I hope that what I've done here will help you solve the problem on your own after you have found the error in your posting.
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