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

Algebra.Com
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(52778)   (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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

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 =  = 21 degrees.

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


Answer by MathTherapy(10552)   (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. 
 

RELATED QUESTIONS


In triangle ABC, the measure of angle B is 2 degrees more than three times the measure of  (answered by rfer)

In triangle ABC, the measure of angle B is 35 degrees more than three times the measure... (answered by rfer)

(Please help?)
In triangle ABC, the measure of angle B is 8 degrees more than three... (answered by ewatrrr)

In triangle ABC, the measure of B is 2 degrees more than three times the measure of angle  (answered by Earlsdon)

In triangle​ ABC, the measure of angle B is 42° more than three times the measure... (answered by rfer)

in triangle ABC , the measure of angle B is three times the measure  of angle A, and the... (answered by ikleyn)

In triangle ABC, the measure of angle B is 2 more than three times the measure of angle... (answered by josgarithmetic)

in triangle ABC, the measure of angle C is 18 degrees greater than three times the... (answered by sdmmadam@yahoo.com)

In triangle ABC, the measure of angle A is 30 degrees more than the measure of angle B.... (answered by macston)