Find the value of x for which l is parallel to m. The diagram is not to scale. Lines l and m are parallel.

Solution:

Given Lines l and m are parallel.

When lines are parallel, alternate angles of either side of the transversal are equal.

Here, the transversal is the line intersecting the two parallel lines.

Hence, the angle x is equal to 28°.

Find the value of x for which l is parallel to m. The diagram is not to scale. Lines l and m are parallel.

Summary:

The value of x for which l is parallel to m is 28°. The diagram is not to scale. Lines l and m are parallel.