SOLUTION: Find the measures of the three angles of triangle ABC if the measure of angle A is equal to the measure of angle B. Measure of angle A: 2(6x-5y)+4 Measure of angle B: 54-3(2x-3y

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Question 651767: Find the measures of the three angles of triangle ABC if the measure of angle A is equal to the measure of angle B.
Measure of angle A: 2(6x-5y)+4
Measure of angle B: 54-3(2x-3y)
measure of angle C: 4(5x-6y)-2(4y-3x)+30
Answer by MathLover1(20850) (Show Source):
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if the measure of angle is equal to the measure of angle , then we have
...we can solve this for

....plug it in measure of angle C:

measure of angle C:
now we have: , then
the measure of angle

the measure of angle =====

the measure of angle
now in all measure of angles we have only one unknown variable, and we also know that
...plug in , and
...solve for

now find the measure of each angle:

check: