Question

which lines in the diagram must be parallel? (not drawn to scale) a only line f and line g b only line f and line h c only line g and line h d line f, line g, and line h

Explanation:

Step1: Identify corresponding - angles

Corresponding angles formed by a transversal j with lines f, g, and h are all 88°.

Step2: Apply parallel - line theorem

If corresponding angles formed by a transversal with two lines are equal, the two lines are parallel. Since the corresponding angles between j and f, j and g, and j and h are equal (all 88°), lines f, g, and h are parallel to each other.

Answer:

D. line f, line g, and line h