Question

if m < 8 = 36°, what does < 1 measure? a m < 1 = 144° b m < 1 = 54° c m < 1 = 36° d m < 1 = 64°

Explanation:

Step1: Identify angle - relationship

$\angle8$ and $\angle5$ are vertical angles, so $m\angle5 = m\angle8=36^{\circ}$.

Step2: Identify another angle - relationship

$\angle1$ and $\angle5$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle1=m\angle5$.

Answer:

C. $m\angle1 = 36^{\circ}$