Question

classify each pair of angles as one of the following: (1 point each)
(a) alternate interior angles (b) corresponding angles
(c) alternate exterior angles (d) vertical angles
(e) supplementary angles (f) none

1. ____ ∠9 & ∠11 10. __ ∠14 & ∠11 11. __ ∠12&∠13
2. _______ ∠12 & ∠14

Explanation:

Problem 9: $\angle 9$ & $\angle 11$

Step 1: Recall Angle Definitions

• Corresponding angles: Same position relative to transversal and parallel lines.
• $\angle 9$ and $\angle 11$: Both are above the horizontal line, left of their vertical transversals.

Step 2: Match to Category

This fits corresponding angles (b).

Step 1: Analyze Angle Positions

• $\angle 14$: Below horizontal, left of its vertical line. $\angle 11$: Above horizontal, left of its vertical line.
• No match to alternate interior, corresponding, etc. So "none" (f).

Step 2: Confirm

No angle relationship (alternate, corresponding, vertical, supplementary) applies.

Step 1: Check Angle Relationships

• $\angle 12$: Above horizontal, right of vertical. $\angle 13$: Below horizontal, left of vertical.
• No standard angle pair (alternate, corresponding, vertical, supplementary) matches. So "none" (f).

Step 2: Verify

No valid category (a - e) fits their positions.

Answer:

b. corresponding angles

Problem 10: $\angle 14$ & $\angle 11$