Question

find the measure of the missing angles. answer b = c =

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. Angle $b$ and the $31^{\circ}$ angle are vertical angles. So $b = 31^{\circ}$.

Step2: Use linear - pair property

The $31^{\circ}$ angle and angle $c$ form a linear pair. A linear pair of angles sums to $180^{\circ}$. So $c=180 - 31=149^{\circ}$.

Answer:

$b = 31^{\circ}$, $c=149^{\circ}$