Question

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

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. Angle $b$ and the given $146^{\circ}$ angle are vertical angles, so $b = 146^{\circ}$.

Step2: Use linear - pair property

The sum of angles in a linear pair is $180^{\circ}$. Angle $c$ and the $146^{\circ}$ angle form a linear pair. So $c=180 - 146$.
$c = 34^{\circ}$

Answer:

$b = 146^{\circ}$, $c = 34^{\circ}$