Question

1. find the measures of angles c and b

Explanation:

Step1: Use vertical angles

Vertical angles are equal. Angle \(c\) and the \(118^{\circ}\) angle are vertical angles.
\(c = 118^{\circ}\)

Step2: Use linear pair

Angles \(b\) and \(118^{\circ}\) form a linear pair (\(b + 118^{\circ}=180^{\circ}\)).
\(b=180^{\circ}- 118^{\circ}=62^{\circ}\)

Answer:

\(c = 118^{\circ}\), \(b = 62^{\circ}\)