Question

this question has two parts. first, answer part a. then, answer part b. part a in the figure, m∠4 = 118°. find the angle measure. justify each step. a. m∠8

Explanation:

Step1: Identify angle - relationship

$\angle4$ and $\angle8$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle8$

Since $m\angle4 = 118^{\circ}$ and $\angle4\cong\angle8$, then $m\angle8=118^{\circ}$.

Answer:

$m\angle8 = 118^{\circ}$