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 sums to 180°. For the angle with measure 118° and \(h\), we have \(h + 118^{\circ}=180^{\circ}\), so \(h=180^{\circ}-118^{\circ}=62^{\circ}\).

Step2: Use vertical - angle property

Vertical angles are equal. The angle with measure 118° and \(g\) are vertical angles, so \(g = 118^{\circ}\).

Step3: Use linear - pair property again

For the angle with measure 133° and \(m\), we have \(m+133^{\circ}=180^{\circ}\), so \(m = 180^{\circ}-133^{\circ}=47^{\circ}\).

Step4: Use vertical - angle property again

The angle with measure 133° and \(k\) are vertical angles, so \(k = 133^{\circ}\).

Answer:

\(g = 118^{\circ}\), \(h = 62^{\circ}\), \(k = 133^{\circ}\), \(m = 47^{\circ}\)