Question

a and b are parallel. what is the measure of ∠5 if ∠4 measures 104°? a 43° b 52° c 86° d 104°

Explanation:

Step1: Identify angle - pair relationship

$\angle4$ and $\angle5$ are alternate - interior angles. When two parallel lines ($a$ and $b$) are cut by a transversal, alternate - interior angles are congruent.

Step2: Determine the measure of $\angle5$

Since $\angle4 = 104^{\circ}$ and $\angle4\cong\angle5$ (alternate - interior angles), then $\angle5=104^{\circ}$.

Answer:

D. $104^{\circ}$