Respuesta :

The Solution:

The correct answer is [option B]

Two lines cut by a transversal which has a pair of congruent corresponding angles are parallel.

Explanation:

Given the figures in the Question section, we are required to prove by stating the reason why line HJ is parallel to t.

[tex]HJ\parallel t[/tex]

We can see clearly from the given figures:

The two lines: HJ and t.

There is a transversal: line u

There is a pair of congruent corresponding angles:

[tex]\angle HJK\text{ and }\angle5[/tex]

So, it follows that line HJ and line t are parallel.

Therefore, the correct answer is [option B]