Q. 74.5( 297 Votes )

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

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}

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