Question

12 using the diagram below, classify the angle pairs as corresponding, alternate interior, alternate exterior, consecutive interior, consecutive exterior, or none. ∠9 and ∠14
a none
b alternate exterior
c alternate interior
d consecutive exterior
e consecutive interior
f corresponding

Explanation:

To classify ∠9 and ∠14, we analyze their positions:

1. Identify Transversal and Parallel Lines: The lines \( p \) and \( q \) are likely the transversals, and the horizontal lines are the parallel lines (cut by \( p \) and \( q \)).
2. Position of Angles:

• ∠9 is on the left - hand side (exterior relative to the area between the parallel lines) formed by transversal \( p \) and the upper horizontal line.
• ∠14 is on the right - hand side (exterior relative to the area between the parallel lines) formed by transversal \( q \) and the upper horizontal line.
• Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal. Here, ∠9 and ∠14 are outside the region between the parallel lines, on opposite sides of the transversals (considering the overall configuration of the lines), so they are alternate exterior angles.

Answer:

B. alternate exterior