Question

find the measure of the missing angles.

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle of 30° and angle $c$ are vertical angles, so $c = 30^{\circ}$.

Step2: Use linear - pair property

The 30° angle and angle $b$ form a linear pair. A linear pair of angles sums to 180°. So $b=180 - 30$.
$b = 150^{\circ}$

Answer:

$b = 150$, $c = 30$