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Question

In ∆ABC, BC = AB and ∠B = 80°. Then, ∠A = ?
(a) 50°
(b) 40°
(c) 100°
(d) 80°

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Solution

Given: In ∆ABC, BC = AB and ∠B = 80°.

In ∆ABC,

As, AB=BC

A=C

Let A=C=x

Using angle sum property of a triangle,

A+B+C=180°x+80°+ x=180°2x=180°-80°2x=100°

x=100°2x=50°A=50°

Hence, the correct option is (a).

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