Question

find the measure of the missing angles.

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(b\) and the \(109^{\circ}\) angle are vertical angles. So \(b = 109^{\circ}\).

Step2: Use linear - pair property

Angles \(b\) and \(c\) form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\). So \(c=180 - b\).
Substitute \(b = 109^{\circ}\) into the formula: \(c = 180-109=71^{\circ}\)

Answer:

\(b = 109^{\circ}, c = 71^{\circ}\)