Question

find the measure of the missing angles. answer attempt 1 out of 2 b = □° c = □°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(b\) and the \(126^{\circ}\) angle are vertical angles. So \(b = 126^{\circ}\).

Step2: Use supplementary - angle property

\(b\) and \(c\) are supplementary angles (a linear - pair). Since the sum of supplementary angles is \(180^{\circ}\), and \(b = 126^{\circ}\), then \(c=180 - 126\).
\(c = 54^{\circ}\)

Answer:

\(b = 126^{\circ}\), \(c = 54^{\circ}\)