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