Question

nd the measure of the missing angles.

Explanation:

Step1: Find the measure of angle \( g \)

Use the property that adjacent angles on a straight line sum to \( 180^{\circ} \).
\( h + g=180^{\circ} \), given \( h = 119^{\circ} \), then \( g=180^{\circ}-119^{\circ}=61^{\circ} \)

Step2: Find the measure of angle \( m \)

Use the property that adjacent angles on a straight line sum to \( 180^{\circ} \).
\( m + 121^{\circ}=180^{\circ} \), then \( m=180^{\circ}-121^{\circ}=59^{\circ} \)

Step3: Find the measure of angle \( k \)

Use the property that vertical angles are equal.
\( k = 121^{\circ} \) (vertical - angle to \( 121^{\circ} \) angle)

Answer:

\( g = 61^{\circ} \), \( m = 59^{\circ} \), \( k = 121^{\circ} \)