SOLUTION: In triangle​ ABC, the angles A and B have the same​ measure, while the measure of angle C is 63 degrees larger than the measure of each of A and B. What are the measure
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Question 1089710: In triangle ABC, the angles A and B have the same measure, while the measure of angle C is 63 degrees larger than the measure of each of A and B. What are the measures of the three angles?
Thank you for your help! Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website!
The three angles must add to 180 degrees.
We can write angle B as "A" because they are equal, giving us:
2A + (A+63) = 180
3A + 63 = 180
3A = 117
A = 39 —> B = 39, C = 39+63 = 102
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Ans: The angles A & B are each 39 degrees, while angle C measures 102 degrees.
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Check: 39+39+102 = 78+102 = 180 (ok)
