SOLUTION: Please help me solve this problem: In angle ABC, angle A and angle B measure exactly the same and C is half as large as angle A. Find the meaure of each angle.

Algebra ->  Angles -> SOLUTION: Please help me solve this problem: In angle ABC, angle A and angle B measure exactly the same and C is half as large as angle A. Find the meaure of each angle.       Log On


   



Question 341260: Please help me solve this problem: In angle ABC, angle A and angle B measure exactly the same and C is half as large as angle A. Find the meaure of each angle.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this problem: In angle ABC, angle A and angle B measure exactly the same and C is half as large as angle A. Find the meaure of each angle.
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A + B + C = 180
A = B
C = (1/2)A
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Substitute and solve for A:
A + A + (1/2)A = 180
(2 1/2)A = 180
(5/2)A = 180
A = (2/5)180
A = 2*36
A = 72 degrees
B = 72 degrees
C = 36 degrees
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Cheers,
Stan H.
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