Question

In the given figure, if l₁ || l₂, what is x + y in terms of w and z?

(a) 180 − w + z

(b) 180 + w − z

(c) 180 − w − z

(d) 180 + w + z

Answer 1

The figure is given below:

Since, y and z are alternate interior opposite angles. Therefore, these must be equal.

(i)

Also x and w are consecutive interior angles.

Theorem states: If a transversal intersects two parallel lines, then each pair of consecutive interior angles are supplementary.

Therefore,

(ii)

On adding equation (i) and (iii) , we get :

Hence, the correct choice is (a).