Question

find the measure of the missing angles.
answer attempt 1 out of 2
$g = \square^\circ$
$h = \square^\circ$
$k = \square^\circ$
$m = \square^\circ$

Explanation:

Step1: Find \( h \)

Use the property of supplementary angles (\( h + 83^{\circ}=180^{\circ}\)).
\( h = 180^{\circ}- 83^{\circ}=97^{\circ}\)

Step2: Find \( g \)

Vertical angles are equal. \( g = 83^{\circ}\)

Step3: Find \( m \)

Use the property of supplementary angles (\( m + 56^{\circ}=180^{\circ}\)).
\( m = 180^{\circ}-56^{\circ}=124^{\circ}\)

Step4: Find \( k \)

Vertical angles are equal. \( k = 56^{\circ}\)

Answer:

\( g = 83^{\circ}\), \( h = 97^{\circ}\), \( k = 56^{\circ}\), \( m = 124^{\circ}\)