Question

In triangle abc. angle a+angle b =95degree and angle a - angle b =25degree find angles a , b and c

Answer 1

∠A + ∠B = 95°

∠A - ∠B = 25°

∠A + ∠B + ∠A - ∠B = 95° + 25°

Or, 2∠A = 120°

Or, ∠A = 60°

So, ∠B = 95° - 60° = 35°

Clearly, ∠A + ∠B + ∠C = 180°

Or, ∠C = 180° - 95°

Or, ∠C = 85°