SOLUTION: In triangle ABC, the measure of angle A is 30 degrees more than the measure of angle B. The measure of angle B is the same as the measure of angle C. Find the measure of each angle
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Question 949856: In triangle ABC, the measure of angle A is 30 degrees more than the measure of angle B. The measure of angle B is the same as the measure of angle C. Find the measure of each angle. Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! A=B+30 degrees
C=B
A+B+C=180 degrees Substitute for A.
(B+30 degrees)+B+C=180 Substitute for C.
B+30 degrees+B+B=180 Subtract 30 degrees from each side.
3B=150 degrees Divide each side by 3.
B=50 degrees ANSWER 1: Angle B measures 50 degrees.
A=B+30 degrees=50 degrees + 30 degrees=80 degrees ANSWER 2: Angle A measures 80 degrees.
C=B=50 degrees ANSWER 3: Angle C measures 50 degrees.
