Question

find the measure of the missing angles. answer b = c =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(b\) and the given \(46^{\circ}\) angle are vertical angles. So \(b = 46^{\circ}\).

Step2: Use linear - pair property

The sum of angles in a linear pair is \(180^{\circ}\). Angle \(c\) and the \(46^{\circ}\) angle form a linear pair. So \(c=180 - 46\).
\[c = 134^{\circ}\]

Answer:

\(b = 46^{\circ}\), \(c = 134^{\circ}\)