Question

Angles A,B,C of a Triangle ABC satisfy B - A=30° and C- B=45°. Find all the angles. ​

Answer 1

If, Angles A,B,C of ∆ABC

so, A+B+C = 180°

it is given that, (B-A)=30°

and, (C-A) = 45°

now,

(A+B+C) - (B-A) - (C-A) = 180°-30°-45°

or, A+B+C-B+A-C+A = 105°

or, 3A = 105°

or, A = 35°

or, B = (35°+30°) = 65°

or, C = (35°+45°) = 80°

so, A = 35°.

B = 65°.

C = 80°.