Question

1. in the figure, which pair/pairs of angles are not congruent corresponding angles?

a. $\angle 1$ & $\angle 8$
b. $\angle 3$ & $\angle 5$
c. $\angle 2$ & $\angle 6$
d. $\angle 4$ & $\angle 7$
more than one

Explanation:

Step1: Define corresponding angles

Corresponding angles occupy matching positions relative to a transversal and two lines, and are congruent if the lines are parallel.

Step2: Analyze each option

• A. $\angle1 \& \angle8$: Matching positions (top-left of each intersection) → congruent corresponding angles.
• B. $\angle3 \& \angle5$: These are alternate interior angles, not corresponding angles → not congruent corresponding angles.
• C. $\angle2 \& \angle6$: Matching positions (top-right of each intersection) → congruent corresponding angles.
• D. $\angle4 \& \angle7$: Matching positions (bottom-left of each intersection) → congruent corresponding angles.

Answer:

B. $\angle3 \& \angle5$