Examveda

If the sum and difference of two angles are 135° and $$\frac{\pi }{{12}}$$ respectively, then the value of the angles in degree measure are:

A. 70°, 65°

B. 75°, 60°

C. 45°, 90°

D. 80°, 55°

Answer: Option B

Solution (By Examveda Team)

∠A + ∠B = 135° . . . . . . . . (i)
∠A - ∠B = $$\frac{\pi }{{12}}$$ = 15° . . . . . . . . (ii)
Adding both equation
2∠A = 150°
⇒ ∠A = 75°
∠B = 60°

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