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Which pairs of angles in the figure below are vertical angles?Check all that apply.A.ARS and ERNB.TRF and NRLC.NRA and SRLD.LRE and FRA

Question

Which pairs of angles in the figure below are vertical angles?

Check all that apply.

A. ARS and ERN
B. TRF and NRLC
C. NRA and SRL
D. LRE and FRA

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Solution

To determine which pairs of angles are vertical angles, we need to identify pairs of angles that are opposite each other when two lines intersect. Vertical angles are always equal and formed by the intersection of two lines.

Steps to Identify Vertical Angles

  1. Identify Intersecting Lines: First, locate the lines in the figure that are intersecting.
  2. Locate Angles: Identify all angles formed by these intersecting lines.
  3. Pair off Opposite Angles: Note the pairs of angles that are opposite each other.
  4. Check the Options: Compare the identified pairs with the options provided.

Based on the given pairs:

  • Option A: ARS and ERN: If these angles are opposite each other, they are vertical angles.
  • Option B: TRF and NRLC: If these angles are opposite each other, they are vertical angles.
  • Option C: NRA and SRLD: If these angles are opposite each other, they are vertical angles.
  • Option D: LRE and FRA: If these angles are opposite each other, they are vertical angles.

Final Answer

Please refer to the figure to confirm which pairs are indeed opposite angles. If they are opposite each other at the intersection, tick those options as vertical angles.

This problem has been solved

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