Question

answer attempt 1 out of 2
$g=square^{circ}$ $h = square^{circ}$
$k=square^{circ}$ $m=square^{circ}$

Explanation:

Step1: Use linear - pair property

A linear - pair of angles is supplementary (sum to 180°). For the angle 131° and angle \(h\), we have \(h + 131^{\circ}=180^{\circ}\). So, \(h=180^{\circ}-131^{\circ}=49^{\circ}\).

Step2: Use vertical - angle property

Vertical angles are equal. Angle \(g\) and the 131° angle are vertical angles, so \(g = 131^{\circ}\).

Step3: Use linear - pair property for the other set

For the angle 54° and angle \(m\), since they are a linear - pair, \(m+54^{\circ}=180^{\circ}\). So, \(m = 180^{\circ}-54^{\circ}=126^{\circ}\).

Step4: Use vertical - angle property for the other set

Angle \(k\) and the 54° angle are vertical angles, so \(k = 54^{\circ}\).

Answer:

\(g = 131^{\circ}\)
\(h = 49^{\circ}\)
\(k = 54^{\circ}\)
\(m = 126^{\circ}\)