Question

answer attempt 1 out of 2
$b=square^{circ}$ $c=square^{circ}$

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Angle $b$ and the $85^{\circ}$ angle are vertical angles.
$b = 85^{\circ}$

Step2: Identify supplementary - angle relationship

Angle $c$ and the $85^{\circ}$ angle are supplementary (a linear - pair). The sum of supplementary angles is $180^{\circ}$.
$c=180 - 85$
$c = 95^{\circ}$

Answer:

$b = 85^{\circ}$
$c = 95^{\circ}$