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| Math Central | Quandaries & Queries |
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Question from Jessica, a parent: Triangle ABC Angle C is 3 times angle A angle B is 30 degrees less than angle C what are the measurements of the angles |
Hi Jessica.
This is how I would solve it.
Angle C is three times angle A, so that means A = (1/3) C.
Angle B is 30 degrees less than angle C, so that means B = C - 30
In any triangle, the sum of all three angles is 180 degrees, so A + B + C = 180.
Now you can substitute in for A and B: ( (1/3) C ) + (C - 30) + C = 180.
Solve for C. Use that to find A and B.
Cheers,
Stephen La Rocque.
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