Question

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

Answer 1

Step-by-step explanation:

Since AB=AC,

So, △ABC is Right-angled isosceles.

∠B=∠C ...(angles opp. to equal sides are equal)

∠A+∠B+∠C=180 ∘...(angle - sum property of a triangle)

Substituting ∠B=∠C, ∠A=90 ∘

90 ∘+2∠B=180 ∘

2∠B=180 ∘ –90 ∘ =90 ∘

⇒∠B=45 ∘

So, ∠C=∠B=45 ∘

solution

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