Question

find the measure of the missing angles.
answer
b = \square^\circ \qquad c = \square^\circ

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\). For angle \(b\), since \(b + 58^{\circ}=180^{\circ}\), then \(b = 180^{\circ}- 58^{\circ}\).

Step2: Calculate the value of \(b\)

\(b=122^{\circ}\)

Step3: Use the property of vertical angles

Vertical angles are equal. Angle \(c\) and the \(58^{\circ}\) angle are vertical angles. So \(c = 58^{\circ}\)

Answer:

\(b = 122\), \(c = 58\)