In ΔABC, ∠A - ∠B = 33°, ∠B - ∠C = 18°. What is the sum of the smallest and the largest angles of the triangle?

Solution (By Examveda Team)

∠A + ∠B + ∠C = 180° . . . . . . . (i)
∠A - ∠B = 33°
∠A = 33° + ∠B
∠B - ∠C = 18°
∠C = ∠B - 18°
From equation (i)
33° + ∠B + ∠B + ∠B - 18° = 180°
3°∠B + 15° = 180°
∠B = 55°
∠A = 88°
∠C = 37°
The sum of largest and smallest angles of the triangle = 88° + 37° = 125°