Question

In the diagram shown, line m is parallel to line n. Cruz says that ∠4 and ∠6 are congruent angles. Is he correct? Why or why not?

Answer 1

Answer:

(B) ${\angle}4$ and ${\angle}7$ are congruent corresponding angles and  ${\angle}7$ and ${\angle}6$ are vertical angles.

Step-by-step explanation:

It is given that line m is parallel to line n.

Now, ${\angle}4$ is congruent to ${\angle}7$ because they are corresponding angles which are always congruent.

Also, ${\angle}7$ is congruent to ${\angle}6$, because they form vertically opposite angle pair, thus

${\angle}4$ will be congruent to ${\angle}6$.

Hence, Cruz is correct that ${\angle}4$ is congruent to ${\angle}6$ because ${\angle}4$ and ${\angle}7$ are congruent corresponding angles and  ${\angle}7$ and ${\angle}6$ are vertical angles.

Therefore, option B is correct.

Answer 2

The answer is the upper 2nd choice to the right :)

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