SOLUTION: The sum of the three angles of a triangle adds up to 180*. One angle is double the smallest angle. The third angle is 12* less than triple the smallest angle. What is the measure o
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Question 968940: The sum of the three angles of a triangle adds up to 180*. One angle is double the smallest angle. The third angle is 12* less than triple the smallest angle. What is the measure of the smallest angle? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of the three angles of a triangle adds up to 180*. One angle is double the smallest angle. The third angle is 12* less than triple the smallest angle. What is the measure of the smallest angle?
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a+b+c = 180
a = 2b
c 3b-12
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Substitute and solve for "b"::
2b + b + 3b-12 = 180
6b = 168
b = 28 degrees
a = 2b = 56 degrees
c = 96 degrees
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Cheers,
Stan H.
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