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 of supplementary angles (\( g + 123^{\circ}=180^{\circ} \)).
\( g = 180^{\circ}-123^{\circ}=57^{\circ} \)

Step2: Find \( h \)

\( h \) and \( 123^{\circ} \) are vertical angles. Vertical angles are equal.
\( h = 123^{\circ} \)

Step3: Find \( m \)

Use the property of supplementary angles (\( m + 81^{\circ}=180^{\circ} \)).
\( m = 180^{\circ}-81^{\circ}=99^{\circ} \)

Step4: Find \( k \)

\( k \) and \( 81^{\circ} \) are vertical angles. Vertical angles are equal.
\( k = 81^{\circ} \)

Answer:

\( g = 57^{\circ} \), \( h = 123^{\circ} \), \( k = 81^{\circ} \), \( m = 99^{\circ} \)