Question

find the measure of the missing angles.

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles sum to \(180^{\circ}\). For angle \(b\) and the \(64^{\circ}\) angle, \(b + 64^{\circ}=180^{\circ}\). So, \(b = 180^{\circ}- 64^{\circ}\).

Step2: Calculate the value of \(b\)

\(b=116^{\circ}\)

Step3: Use the property of vertical angles

Vertical angles are equal. Angle \(c\) and the \(64^{\circ}\) angle are vertical angles. So, \(c = 64^{\circ}\)

Answer:

\(b = 116^{\circ}\), \(c = 64^{\circ}\)