SOLUTION: in a triangle ABC, angle B is four times angle A and angle C is 2 degrees less than 5 times angle A. Find the size of the angles. what is the size of angle A?

Algebra ->  Triangles -> SOLUTION: in a triangle ABC, angle B is four times angle A and angle C is 2 degrees less than 5 times angle A. Find the size of the angles. what is the size of angle A?      Log On


   

Question 513841: in a triangle ABC, angle B is four times angle A and angle C is 2 degrees less than 5 times angle A. Find the size of the angles. what is the size of angle A?
Answer by stanbon(75887) About Me  (Show Source):
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in a triangle ABC, angle B is four times angle A and angle C is 2 degrees less than 5 times angle A. Find the size of the angles. what is the size of angle A?
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A + B + C = 180
B = 4A
C = 5A-2
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Substitute for B and C and solve for "A":
A + 4A + 5A-2 = 180
10A = 182
A = 18.2 degrees
B = 72.8 degrees
C = 89 degrees
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Cheers,
Stan H.
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