Consecutive Interior 127731

1. **State the problem:** We are given two lines, $a$ and $g$, intersecting a transversal $w$ at two points, creating angles labeled $11, 7, 8, 1$ at the upper intersection and $9, 3, 5, 12$ at the lower intersection. We need to identify which pair of angles from the given options are consecutive interior angles. 2. **Recall the definition:** Consecutive interior angles are pairs of angles that lie between the two lines and on the same side of the transversal. 3. **Analyze the diagram and angle positions:** - At the upper intersection (lines $a$ and $w$), angles $11$ and $8$ are on one side of $w$, and $7$ and $1$ on the other. - At the lower intersection (lines $g$ and $w$), angles $9$ and $5$ are on one side of $w$, and $3$ and $12$ on the other. 4. **Check each pair:** - $\angle 11$ and $\angle 5$: $11$ is at the upper intersection on one side of $w$, $5$ is at the lower intersection on the same side of $w$ between $g$ and $w$. These are on the same side of $w$ and between lines $a$ and $g$, so they are consecutive interior angles. - $\angle 8$ and $\angle 9$: $8$ is at the upper intersection on one side of $w$, $9$ is at the lower intersection but on the opposite side of $w$. So not consecutive interior. - $\angle 3$ and $\angle 5$: Both at the lower intersection but on opposite sides of $w$, so not consecutive interior. - $\angle 12$ and $\angle 1$: $12$ is at the lower intersection on one side of $w$, $1$ is at the upper intersection on the opposite side of $w$, so not consecutive interior. 5. **Conclusion:** The only pair of consecutive interior angles is $\angle 11$ and $\angle 5$. **Final answer:** $\boxed{\angle 11 \text{ and } \angle 5}$ are consecutive interior angles.