Look at the figure. if ∠1≡∠5, describe the relationship between lines a and b.

the lines are perpendicular
the lines are not parallel
the lines are parallel
the lines are transversal.

question14

 the correct option is (C) The lines are parallel.

Step-by-step explanation:  Given that  ∠1 ≡ ∠5 in the figure shown.

We are to describe the relationship between the lines a and b.

From the figure, we see that

the lines a and b are cut by a transversal, where ∠1 and ∠5 are corresponding angles.

Since the corresponding angles are congruent, so the measure of the corresponding angles are equal.

i.e., m∠1 = m∠5.

Therefore, the lines a and b are parallel.

Thus, (C) is the correct option.