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 \(142^{\circ}\) angle are vertical angles. So \(b = 142^{\circ}\).

Step2: Use supplementary - angle property

Angle \(b\) and angle \(c\) are supplementary (a linear pair). The sum of supplementary angles is \(180^{\circ}\). So \(c=180 - b\). Substituting \(b = 142^{\circ}\), we get \(c = 180-142=38^{\circ}\).

Answer:

\(b = 142^{\circ}\), \(c = 38^{\circ}\)