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

Question

ABC is a right angled triangle in which &#x2220; A = 90&#xB0;and AB = AC. Find &#x2220; B and &#x2220; C.

Philoid · Accepted Answer

It is given in the question that:

∠A = 90^o

And,

AB = AC

According to question,

AB = AC

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

Now,

∠A + ∠B + ∠C = 180^o (Sum of the interior angles of a triangle)

90^o + 2∠B = 180^o

2∠B = 90^o

∠B = 45^o

Thus,

∠B = ∠C = 45^o