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