Question

In a Δ ABC, if ∠A =120° and AB=AC. Find ∠B and ∠C.

Answer 1

Answer:

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Answer 2

Given : In a Δ ABC, ∠A = 120° and AB = AC

Δ ABC is an isosceles triangle since AB = AC

∠ B = ∠ C ……… (1)

[Angles opposite to equal sides are equal]

We know, that sum of angles in a triangle is 180°.  

∠ A + ∠ B + ∠ C = 180°

∠ A + ∠ B + ∠ B = 180°

[From eq (1)]

120°  + 2∠B = 180°

2∠B = 180° – 120°  

2∠B = 60°

∠B = 60°/2

∠ B = 30°

Hence, ∠ B = ∠ C = 30°

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