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20. alternate exterior angles are the angles labeled in the same color …

Question

  1. alternate exterior angles

are the angles labeled in the same color alternate interior angles, same - side interior angles, corresponding angles, or alternate exterior angles?
21.
22.
23.

Explanation:

Step1: Recall angle - pair definitions

Alternate exterior angles are non - adjacent angles that lie outside two lines and on opposite sides of a transversal. Corresponding angles are in the same relative position with respect to the lines and the transversal. Alternate interior angles are non - adjacent angles that lie between two lines and on opposite sides of a transversal. Same - side interior angles are between two lines and on the same side of a transversal.

Step2: Analyze 21

For the angles in 21:
The angles labeled in the same color are not alternate exterior angles. Angle 1 and angle 5 are corresponding angles.

Step3: Analyze 22

For the angles in 22:
The angles labeled in the same color are not alternate exterior angles. Angle 1 and angle 2 are non - related in the sense of these special angle pairs in a simple way. Angle 1 and angle 3 are corresponding angles.

Step4: Analyze 23

For the angles in 23:
The angles labeled in the same color are not alternate exterior angles. Angle 1 and angle 2 are corresponding angles.

Answer:

  1. No; they are corresponding angles.
  2. No; they are not in a special angle - pair relationship in a simple way (angle 1 and 3 are corresponding).
  3. No; they are corresponding angles.