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question 7 of 10 which pairs of angles in the figure below are vertical…

Question

question 7 of 10 which pairs of angles in the figure below are vertical angles? check all that apply.

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are equal in measure.

Step2: Analyze each option

  • Option A: $\angle RTP$ and $\angle ATB$ are not vertical angles as they are not formed by the same pair of intersecting lines.
  • Option B: $\angle BTD$ and $\angle ATP$ are not vertical angles.
  • Option C: $\angle DTN$ and $\angle ATP$ are vertical angles since they are formed by the intersection of lines $AD$ and $RN$ and are opposite each other.
  • Option D: $\angle ATN$ and $\angle RTD$ are vertical angles as they are formed by the intersection of lines $AD$ and $RN$ and are opposite each other.

Answer:

C. $\angle DTN$ and $\angle ATP$, D. $\angle ATN$ and $\angle RTD$