Question

find the measure of the missing angles.

Explanation:

Step1: Find angle \( b \)

Use the linear - pair property (sum of angles on a straight line is \( 180^{\circ} \)).
\( b+30^{\circ}=180^{\circ} \)
\( b = 180^{\circ}-30^{\circ}=150^{\circ} \)

Step2: Find angle \( c \)

Use the vertical - angle property (vertical angles are equal).
Since \( c \) and the angle of \( 30^{\circ} \) are vertical angles, \( c = 30^{\circ} \)

Answer:

\( b = 150^{\circ}, c = 30^{\circ} \)