SOLUTION: In a triangle, the middle angle is 45 degrees and the largest angle is 15 degrees more than twice the smallest angle. Find the smallest and largest angles.

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Question 546479: In a triangle, the middle angle is 45 degrees and the largest angle is 15 degrees more than twice the smallest angle. Find the smallest and largest angles.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
m=middle l=largest s=smallest
m=45
l=15%2B2s
180=m%2Bl%2Bs
above is known
use substitution and solve for s
180=45%2B15%2B2s%2Bs add like terms
180=60%2B3s subtract 60
120=3s divide by 3
40=s
l=15%2B2s
l=15%2B2%2840%29
l=15%2B80
l=95