Question

if m < 8 = 23°, what does < 4 measure? a m < 4 = 23° b m < 4 = 67° c m < 4 = 157° d m < 4 = 77°

Explanation:

Step1: Identify angle - pair relationship

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

Step2: Determine the measure of $\angle4$

Since $\angle8$ and $\angle4$ are corresponding angles and $m\angle8 = 23^{\circ}$, then $m\angle4=m\angle8$. So $m\angle4 = 23^{\circ}$.

Answer:

A. $m\angle4 = 23^{\circ}$