Question

find the measure of the missing angles.
answer
attempt 1 out of 3
g = □° h = □°
k = □° m = □°

Explanation:

Step1: Find \( g \)

Use the property that adjacent angles on a straight line sum to \( 180^{\circ} \).
\( g+109^{\circ}=180^{\circ} \)
\( g = 180^{\circ}-109^{\circ}=71^{\circ} \)

Step2: Find \( h \)

\( h \) and \( 109^{\circ} \) are vertical angles. Vertical angles are equal.
\( h = 109^{\circ} \)

Step3: Find \( m \)

Use the property that adjacent angles on a straight line sum to \( 180^{\circ} \).
\( m + 84^{\circ}=180^{\circ} \)
\( m=180^{\circ}-84^{\circ}=96^{\circ} \)

Step4: Find \( k \)

\( k \) and \( 84^{\circ} \) are vertical angles. Vertical angles are equal.
\( k = 84^{\circ} \)

Answer:

\( g = 71^{\circ} \), \( h = 109^{\circ} \), \( k = 84^{\circ} \), \( m = 96^{\circ} \)