Question

answer b = c =

Explanation:

Step1: Identify vertical - angles

Vertical - angles are equal. Angle \(b\) and the \(51^{\circ}\) angle are vertical - angles. So \(b = 51^{\circ}\).

Step2: Identify supplementary angles

Angle \(c\) and the \(51^{\circ}\) angle are supplementary (they form a straight - line). Since the sum of supplementary angles is \(180^{\circ}\), we have \(c=180 - 51\).
\(c = 129^{\circ}\)

Answer:

\(b = 51^{\circ}\), \(c = 129^{\circ}\)