MCQ

In the given figure, if l_{1} || l_{2}, what is x + y in terms of w and z?

#### Options

180° − w + z

180° +

*w*−*z*180° -

*w*−*z*180° +

*w*+*z*

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#### Solution

The figure is given below:

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

y = z (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,

x +w = 180° (ii)

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

x + y + w = 180°

x + y = 180° + z - w

Concept: Parallel Lines and a Transversal

Is there an error in this question or solution?

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