Question

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

Answer 1

∠1 and ∠5 are correspondent angles. If they are congruents, the lines a and b must be parallels.
Answer: Third option. The lines are Parallel

Answer 2

Answer: 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.