Question

1. use the diagram to find the measures of each angle. explain your reasoning. a. m∠abc

Explanation:

Step1: Identify angle - type relationship

$\angle ABC$ and the $50^{\circ}$ angle are vertical angles.

Step2: Apply vertical - angles property

Vertical angles are congruent. So $m\angle ABC = 50^{\circ}$.

Answer:

$m\angle ABC=50^{\circ}$