Question

ABC is right angled triangle on which angle A=90° and AB=AC.find angle ​

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°