SOLUTION: The largest angle of a triangle is 5 times the size of the​ smallest, and the middle angle is 3 times the size of the smallest. What are the three angle​ measures? The

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Question 1070184: The largest angle of a triangle is 5 times the size of the​ smallest, and the middle angle is 3 times the size of the smallest. What are the three angle​ measures?
The smallest angle of a triangular sunshade measures 11 degrees less than the​ middle-sized angle. The largest angle measures 11 degrees more than twice the​ middle-sized angle. What are the angle​ measures?
Thank you!

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
First one has angles x, 3x, and 5x. They add to 180 (x is the smallest angle)
9x=180
x=20 degrees
3x=60 degrees
5x=100 degrees
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middle angle is x
smallest is x-11
largest is 2x+11
They all add to 180
x+x-11+2x+11=180
4x=180
x=45 degrees (middle)
smallest is 34 degrees
largest is 101 degrees