Question 1039959: the angles of convex pentagon are in ratio 2:3:5:9:11 find measure of each angle?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
The sum of the interior angles of any n-sided polygon is given by *180)
For the time being, I'm going to call that number  , and I leave it to you to calculate the value of .
If the angles are proportional, then all of the angles must have a common factor in their measures. We'll call that common factor  . So the first angle is  , the second is  , and so on. That means we can write:
So once you have figured out the value of S, plug it into the equation and solve for . Then calculate , , and so on. Check your work to make sure that the angles all add up to your value of
John
My calculator said it, I believe it, that settles it
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