Question

15 given m || n, name one pair of alternate interior angles image of two parallel lines m and n cut by a transversal t, with angles labeled 1,2,3,4 on line m and 5,6,7,8 on line n a ∠1 and ∠2 b ∠3 and ∠6 c ∠3 and ∠5 d ∠1 and ∠7

Explanation:

Step1: Recall Alternate Interior Angles

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze Each Option

• Option A: $\angle 1$ and $\angle 2$ are adjacent angles, not alternate interior angles.
• Option B: $\angle 3$ and $\angle 6$: $\angle 3$ is on line $m$, $\angle 6$ is on line $n$, but they are not on opposite sides of transversal $t$ in the interior region.
• Option C: $\angle 3$ and $\angle 5$: $\angle 3$ is on line $m$, $\angle 5$ is on line $n$, between the two parallel lines, and on opposite sides of transversal $t$. So they are alternate interior angles.
• Option D: $\angle 1$ and $\angle 7$: $\angle 1$ is above line $m$, $\angle 7$ is below line $n$, not alternate interior angles.

Answer:

C. $\angle 3$ and $\angle 5$