Question

In the given figure, if l₁ || l₂, the value of x is

(a) $22\frac{1}{2}$

(b) 30

(c) 45

(d) 60

Answer 1

In the given problem,

We need to find the value of x

Here, as, using the property, “consecutive interior angles are supplementary”, we get

..........(1)

Further, applying angle sum property of the triangle

In ΔABC

(using 1)

Now, AB is a straight line, so using the property, “angles forming a linear pair are supplementary”, we get,

Thus,

Therefore, the correct option is (c).