Question

find the measure of the missing angles.

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(b\) and the \(28^{\circ}\) angle are vertical angles. So \(b = 28^{\circ}\).

Step2: Use supplementary - angle property

Angle \(c\) and the \(28^{\circ}\) angle are supplementary (they form a straight - line). Since the sum of supplementary angles is \(180^{\circ}\), we have \(c=180 - 28\).
\(c = 152^{\circ}\)

Answer:

\(b = 28^{\circ}\), \(c = 152^{\circ}\)