Question

In the given figure, for which value of x is l₁ || l₂?

(a) 37

(b) 43

(c) 45

(d) 47

Answer 1

In the given problem, we need to find the value of x if

Here, if , then using the property, “if the two lines are parallel, then the alternate interior angles are equal”, we get,

Further, applying angle sum property of the triangle

In ΔABC

Thus,

Therefore, the correct option is (d).