Question

In Fig. 1, ABC is a triangle in which

AB = BC and ∠ B = 40°, then x equals :

(A) 110° (B) 120° (C) 140° (D) 70°​

Answer 1

140 is the correct answer of it

Answer 2

Hey !

Solution :- Given AB = AC

so , as we know that if sides are equal them it's corresponding angles are also equal .

hence, < BAC = < ACB

Let's <ACB= <BAC = y

we know that, sum of all of triangle is 180°

so, y + y+ 40 = 180°

y = 170

We have to find exterior angle ,

since, x + <ACB = 180

x + 70 = 180 {°•° straight line}

x = 110° Answer ✔

Option (A) is correct
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Hope it helps you !!!

@Raj ❤