SOLUTION: In triangle ABC, angle A is 30 more than angle B. Angle C equals the sum of angle A and B. Find the measure of each of the three angles.

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Question 744621: In triangle ABC, angle A is 30 more than angle B. Angle C equals the sum of angle A and B. Find the measure of each of the three angles.
Answer by sachi(548) About Me  (Show Source):
You can put this solution on YOUR website!
In triangle ABC, angle A is 30 more than angle B.
if B=x then A=x+30
Angle C equals the sum of angle A and B.
so C=x+x+30
now A+B+C=180
so x+30+x+x+x+30=180
or 4x+60=180
or 4x=180-60=120
or x=30=B
so A=30+30=60 & C=30+60=90