Question

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

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $b$ and the $122^{\circ}$ angle are vertical angles, so $b = 122^{\circ}$.

Step2: Use supplementary - angle property

The sum of adjacent angles on a straight - line is $180^{\circ}$. Angle $c$ and the $122^{\circ}$ angle are adjacent on a straight - line. So $c=180 - 122$.
$c = 58^{\circ}$

Answer:

$b = 122^{\circ}$, $c = 58^{\circ}$