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Triangle and Sum of Its Internal Angles

If A, B, C ar...

Question

If A,B,C are three angles of triangle. If A -B=15. B-C=30. Find A , B, C.

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Solution

We have A-B = 15 and B-C = 30.
so A = B+15
and C = B -30
Using A+B+C = 180 we get
(B+15)+B+(B-30) =180
3B-15 = 180
3B= 195
B = 65
A= B+15 = 65+15= 80
C= B-30 = 65-30 = 35
Answer: A=80. B= 65, C = 35

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