SOLUTION: In triangle ABC, the measure of angle A is 30 more than twice the measure of angle B and the measure of angle C is three times the measure of angle B. Find the measures of angles A

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Question 246819: In triangle ABC, the measure of angle A is 30 more than twice the measure of angle B and the measure of angle C is three times the measure of angle B. Find the measures of angles A, B, and C.
Thanks in advance
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the measure of angle B.

Then represents the measure of angle A and represents the measure of angle C.

Since the sum of the measures of the interior angles of a triangle is 180 when the angles are measured in degrees, and since I presume that you meant "measure of angle A is 30 degrees more than twice the measure of angle B" in your problem statement, we can write:



Solve for to get the measure of B and the others follow from that.

John
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