Question

this question has two parts. first, answer part a. then, answer part b. using the diagram, match each pair of angles to the correct description. ∠7 and ∠9 ∠1 and ∠7 ∠4 and ∠11

Explanation:

1. ∠7 and ∠9: These angles lie between the two parallel lines (c, d) and on opposite sides of the transversal (b), so they are alternate interior angles.
2. ∠1 and ∠7: These angles are adjacent and form a straight line, so their sum is 180°, making them supplementary (linear pair) angles.
3. ∠4 and ∠11: These angles lie outside the two parallel lines (c, d) and on opposite sides of the transversal (b), so they are alternate exterior angles.

Answer:

Alternate Interior Angles: $\boldsymbol{\angle 7 \text{ and } \angle 9}$
Supplementary (Linear Pair) Angles: $\boldsymbol{\angle 1 \text{ and } \angle 7}$
Alternate Exterior Angles: $\boldsymbol{\angle 4 \text{ and } \angle 11}$