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Question -

In a ∆ABC, if ∠A = 120° and AB = AC. Find ∠B and ∠C.



Answer -

In ∆ABC, ∠A = 120° and AB = AC
∴ ∠B = ∠C (Angles opposite to equal sides)
But ∠A + ∠B + ∠C = 180° (Sum of angles of a triangle)
 
⇒ 120° + ∠B + ∠B = 180°
⇒ 2∠B = 180° – 120° = 60°
∴ ∠B == 30°
and ∠C = ∠B = 30°
Hence ∠B = 30° and ∠C = 30°

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