Question

9/29 - 9/30
identify each pair of angles as corresponding, alternate interior, alternate exterior, consecutive interior, vertical, or adjacent.
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10)

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. Alternate interior angles are between the two lines and on opposite sides of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Consecutive interior angles are between the two lines and on the same side of the transversal. Vertical angles are opposite each other when two lines intersect. Adjacent angles share a common side and a common vertex.

Step2: Analyze each pair

1. Corresponding angles: They are in the same relative position with respect to the parallel lines and the transversal.
2. Alternate interior angles: They are between the parallel lines and on opposite sides of the transversal.
3. Alternate exterior angles: They are outside the parallel lines and on opposite sides of the transversal.
4. Consecutive interior angles: They are between the parallel lines and on the same side of the transversal.
5. Corresponding angles: In the same relative position.
6. Alternate interior angles: Between the lines and opposite sides of transversal.
7. Alternate exterior angles: Outside the lines and opposite sides of transversal.
8. Consecutive interior angles: Between the lines and same side of transversal.
9. Adjacent angles: Share a common side and vertex.
10. Vertical angles: Opposite each other at the intersection of the transversal with the lines.

Answer:

1. Corresponding
2. Alternate interior
3. Alternate exterior
4. Consecutive interior
5. Corresponding
6. Alternate interior
7. Alternate exterior
8. Consecutive interior
9. Adjacent
10. Vertical