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Question -

ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.



Answer -

In ∆ABC, ∠A = 90°
 
AB =AC (Given)
∴ ∠C = ∠B (Angles opposite to equal sides)
But ∠B + ∠C = 90° (∵ ∠B = 90°)
∴ ∠B = ∠C == 45°
Hence ∠B = ∠C = 45°

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