SOLUTION: In triangle ABC, the measure of angle B is 27 degrees more than three times the measure of angle A. The measure of angle C is 48 degrees more than the measure of angle A. The measu

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Question 1066061: In triangle ABC, the measure of angle B is 27 degrees more than three times the measure of angle A. The measure of angle C is 48 degrees more than the measure of angle A. The measures of the three angles in a triangle must total 180 degrees.

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52777) About Me  (Show Source):
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In triangle ABC, the measure of angle B is 27 degrees more than three times the measure of angle A.
The measure of angle C is 48 degrees more than the measure of angle A.
The measures of the three angles in a triangle must total 180 degrees.
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B = 3A + 27 degrees.

C = A + 48 degrees.


A + B + C = 180,   or, substituting,

A + (3A+27) + (A+48) = 180  --->

5A + 75 = 180  --->  5A = 180 - 75  --->  5A = 105  --->  A = 105%2F5 = 21 degrees.

Having A, can you find B and C on your own and to complete the assignment ?


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

In triangle ABC, the measure of angle B is 27 degrees more than three times the measure of angle A. The measure of angle C is 48 degrees more than the measure of angle A. The measures of the three angles in a triangle must total 180 degrees.