Question

question 3
if line m || line n and ∠2 measures 47°, what is the measure of ∠5?
43°
133°
180°
47°

Explanation:

Step1: Identify angle - pair relationship

$\angle2$ and $\angle5$ are alternate - interior angles.

Step2: Apply parallel - line property

When two parallel lines ($m\parallel n$) are cut by a transversal, alternate - interior angles are congruent.

Step3: Determine angle measure

Since $\angle2 = 47^{\circ}$ and $\angle2\cong\angle5$, then $\angle5 = 47^{\circ}$.

Answer:

D. $47^{\circ}$