Question

find the measure of the missing angles.

Explanation:

Step1: Find angle \( b \)

Use the concept of supplementary angles. Supplementary angles sum to \( 180^{\circ} \).
\( b+80^{\circ}=180^{\circ} \)
\( b = 180^{\circ}-80^{\circ}=100^{\circ} \)

Step2: Find angle \( c \)

Use the property of vertical angles. Vertical angles are equal.
\( c = 80^{\circ} \) (since \( c \) and \( 80^{\circ} \) are vertical angles)

Answer:

\( b = 100^{\circ} \), \( c = 80^{\circ} \)