find the measure of the missing angles.\nanswer attempt 1 out of 2\nb = \n c =

Answer:

$b = 109^{\circ}$, $c = 71^{\circ}$

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Angle $b$ and the $109^{\circ}$ angle are vertical angles, so $b = 109^{\circ}$.

Step2: Use linear - pair relationship

The $109^{\circ}$ angle and angle $c$ form a linear pair. Since the sum of angles in a linear pair is $180^{\circ}$, we have $c=180 - 109$. So $c = 71^{\circ}$.