Answer:
(B) [tex]{\angle}4[/tex] and [tex]{\angle}7[/tex] are congruent corresponding angles and [tex]{\angle}7[/tex] and [tex]{\angle}6[/tex] are vertical angles.
Step-by-step explanation:
It is given that line m is parallel to line n.
Now, [tex]{\angle}4[/tex] is congruent to [tex]{\angle}7[/tex] because they are corresponding angles which are always congruent.
Also, [tex]{\angle}7[/tex] is congruent to [tex]{\angle}6[/tex], because they form vertically opposite angle pair, thus
[tex]{\angle}4[/tex] will be congruent to [tex]{\angle}6[/tex].
Hence, Cruz is correct that [tex]{\angle}4[/tex] is congruent to [tex]{\angle}6[/tex] because [tex]{\angle}4[/tex] and [tex]{\angle}7[/tex] are congruent corresponding angles and [tex]{\angle}7[/tex] and [tex]{\angle}6[/tex] are vertical angles.
Therefore, option B is correct.
