Theorems and Proofs problem Ill send a picture of the question


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]