SOLUTION: in triangle ABC angle A minus angle B is 15 degree angle B minus C is 30 degrees find A and B

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Question 777830: in triangle ABC angle A minus angle B is 15 degree angle B minus C is 30 degrees
find A and B
Answer by negative49(13) About Me  (Show Source):
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sum of interior angles of triangle:
A° + B° + C° = 180°
I represent A° and C° as variable B
A-B = 15
A= 15 + B
B-C = 30
C = -30 + B
(15 + B) + (B) + (-30 + B) = 180
-15 + 3B = 180
3B = 195
B° = 65
A- (65) = 15
A = 15 + 65
A° = 80
A° = 80 B° = 65
Proof:
B-C= 30
C = -30 + B
C = -30 + 65
C°= 35
A° + B° + C° = 180°
80° + 65° + 35° = 180°