Question

answer
b =
submit answer
c =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Angle $b$ and the $23^{\circ}$ angle are vertical angles.
So $b = 23^{\circ}$.

Step2: Identify supplementary - angle relationship

Angle $c$ and the $23^{\circ}$ angle are supplementary (a linear - pair). The sum of supplementary angles is $180^{\circ}$.
So $c=180 - 23=157^{\circ}$.

Answer:

$b = 23$, $c = 157$