Question:

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

Updated On: Nov 18, 2023
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Solution and Explanation

ABC is a right angled triangle in which ∠A = 90°

is given that 

AB = AC 

∠C = ∠B (Angles opposite to equal sides are also equal) 

In ∆ABC, 

∠A + ∠B + ∠C = 180º (Angle sum property of a triangle) 

90º + ∠B + ∠C = 180º 

90º + ∠B + ∠B = 180º 

2B = 90º 

∠B = 45º 

B = C = 45º

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