Question

find the measure of the missing angles.

Explanation:

Step1: Find angle \( c \)

Use the property that adjacent angles on a straight line sum to \( 180^{\circ} \).
\( c+146^{\circ}=180^{\circ} \)
\( c = 180^{\circ}-146^{\circ}=34^{\circ} \)

Step2: Find angle \( b \)

Use the property that vertically opposite angles are equal.
Since \( b \) and \( 146^{\circ} \) are vertically opposite angles.
\( b = 146^{\circ} \)

Answer:

\( b = 146^{\circ} \), \( c = 34^{\circ} \)