Question

then, answer check your understanding assignment below. you have three attempts.

1. \\( \angle m k h \\) is supplementary to khl
2. \\( \overline{m k} \\| \overline{l h} \\)

if two lines are intersected by a transversal so that corresponding angles are supplementary, then the lines are parallel.
if two lines are intersected by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.
if two lines are intersected by a transversal so that consecutive exterior angles are supplementary, then the lines are parallel

Explanation:

When two lines are cut by a transversal, consecutive interior angles are the angles that lie between the two lines and on the same side of the transversal. In this case, \(\angle MKH\) and \(\angle KHL\) are consecutive interior angles. The theorem states that if consecutive interior angles are supplementary (their sum is \(180^{\circ}\)), then the two lines (\(\overline{MK}\) and \(\overline{LH}\)) are parallel.

Answer:

If two lines are intersected by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.