Question

find the measure of the missing angles.

Explanation:

Step1: Find angle \(b\)

Use the property that adjacent angles on a straight line sum to \(180^{\circ}\).
\(b + 23^{\circ}=180^{\circ}\)
\(b = 180^{\circ}- 23^{\circ}\)
\(b = 157^{\circ}\)

Step2: Find angle \(c\)

Use the property that vertical angles are equal.
\(c = 23^{\circ}\) (since \(c\) and the \(23^{\circ}\) angle are vertical angles)

Answer:

\(b = 157^{\circ}\), \(c = 23^{\circ}\)