Question

find the measure of the missing angles. answer attempt 1 out of 2 b = ° c = °

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $b$ and the given $64^{\circ}$ angle are vertical angles. So $b = 64^{\circ}$.

Step2: Use supplementary - angle property

Angle $c$ and the given $64^{\circ}$ angle are supplementary (a linear - pair). Since the sum of angles in a linear - pair is $180^{\circ}$, we have $c=180 - 64$.
$c = 116^{\circ}$

Answer:

$b = 64^{\circ}$, $c = 116^{\circ}$