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Answer: D)  [tex]m \angle 2 = m\angle 5[/tex]

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Explanation:

Let's go through the answer choices to see what's true and what's false.

  • A) This is true because they are corresponding angles. Corresponding angles are congruent when we have parallel lines.
  • B) This is true as well. The reasoning is the same as choice A.
  • C) These angles are vertical, so they are congruent angles. This is true.
  • D) This is false. The angles are supplementary. They would only be congruent if both angles were 90 degrees; otherwise, they aren't congruent.
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