Question

question 23 of 25 the diagram shows two parallel lines and a transversal. if the measure of ∠2 is 47°. what is the measure of ∠3? a. 43° b. 153° c. 47° d. 133°

Explanation:

Step1: Identify angle - pair relationship

$\angle2$ and $\angle3$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So, $m\angle2=m\angle3$.

Step3: Substitute the given angle measure

Since $m\angle2 = 47^{\circ}$, then $m\angle3=47^{\circ}$.

Answer:

C. $47^{\circ}$