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

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Best answer

Given that ABC is a right angled triangle

Such that,

∠A = 90°

And,

AB = AC

Since,

AB = AC

ΔABC is also isosceles triangle

Therefore, we can say that ΔABC is a right angled isosceles triangle.

∠C = ∠B

And,

∠A = 90°

Now, we have

Sum of angles in a triangle = 180°

∠A + ∠B + ∠C = 180°

90° + ∠B + ∠B = 180°(From i)

90° + 2∠B = 180°

2∠B = 90°

∠B = 45°

Therefore, ∠B = ∠C = 45°

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