Question

1. line m is a transversal. for lines a, b, c, and d; determine which line is not parallel to the others.

Explanation:

Step1: Recall parallel - line angle rules

When two parallel lines are cut by a transversal, corresponding angles are equal, alternate - interior angles are equal, and same - side interior angles are supplementary (sum to 180°).

Step2: Analyze angles formed by lines a, b, c, d and transversal m

For lines a and b, the corresponding angles are 104° and 104°, and the alternate - interior angles are 76° and 76°. So, a || b.
For lines a and d, the corresponding angles are 104° and 104°. So, a || d.
For line c, the angles formed with the transversal m are 77° and 103°. Since the angles formed by line c with the transversal m do not match the angle relationships of parallel lines with a and b and d (the angles are not equal to 104° or 76° as in the case of a, b, and d), line c is not parallel to the others.

Answer:

C