Question

line m and line n are parallel lines. which angles have the same measure as ∠2? select all that apply. ∠1 ∠3 ∠6 ∠8

Explanation:

Step1: Identify vertical - angle relationship

$\angle2$ and $\angle4$ are vertical angles, so $\angle2=\angle4$. $\angle4$ and $\angle8$ are corresponding angles (since $m\parallel n$), so $\angle4 = \angle8$, then $\angle2=\angle8$.

Step2: Identify alternate - interior angle relationship

$\angle2$ and $\angle6$ are alternate - interior angles (since $m\parallel n$), so $\angle2=\angle6$.

Answer:

C. $\angle6$, D. $\angle8$