Question

4. ABC is a right angled triangle in which angleA=90° and AB = AC show that angle B = 2C.​

Answer 1

Answer:

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=90o

90∘+2∠B=180∘ 

2∠B=180∘–90∘=90∘

⇒∠B=45∘

So, ∠C=∠B=45o.