SOLUTION: One angle of a triangle is three times another. The third angle is 45 degrees greater than the smallest. Find the measure of the smallest angle. Thanks

Question 206851: One angle of a triangle is three times another. The third angle is 45 degrees greater than the smallest. Find the measure of the smallest angle.
Thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One angle of a triangle is three times another. The third angle is 45 degrees greater than the smallest. Find the measure of the smallest angle.
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A + b + c = 180
a = 3b
c = b + 45
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Rearrange:
a + b + c = 180
a -3b + 0 = 0
0 + b - c = -45
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Use any method you know to get:
a = 81
b = 27
c = 72
=============
Cheers,
Stan H.

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