Question

1. this question has two parts. parallel lines $overleftrightarrow{ln}$, $overleftrightarrow{bh}$, and $overleftrightarrow{rk}$, with transversal $overleftrightarrow{pw}$ are shown. $mangle bmv = 108^{circ}$ and $mangle kvs = 72^{circ}$. part a based on the diagram above and the given information, what is the $mangle wpn$? part b: what angle relationship did you use to find the measure of $angle wpn$?

Explanation:

Step1: Identify corresponding angles

Corresponding - angles are equal for parallel lines and a transversal. $\angle BMV$ and $\angle WPN$ are corresponding angles.

Step2: Determine angle measure

Since $\angle BMV = 108^{\circ}$, then $m\angle WPN=108^{\circ}$.

Answer:

Part A: $m\angle WPN = 108^{\circ}$
Part B: The angle - relationship used is the corresponding - angles postulate. Corresponding angles formed by parallel lines and a transversal are congruent.