Question

find the measure of the missing angles.

Explanation:

Step1: Find angle \(h\)

Use the property of supplementary angles (\(h + 119^{\circ}=180^{\circ}\)).

$$h = 180^{\circ}- 119^{\circ}=61^{\circ}$$

Step2: Find angle \(g\)

Use the property of vertical angles (\(g\) and \(119^{\circ}\) are vertical angles).

$$g = 119^{\circ}$$

Step3: Find angle \(m\)

Use the property of supplementary angles (\(m + 121^{\circ}=180^{\circ}\)).

$$m = 180^{\circ}-121^{\circ}=59^{\circ}$$

Step4: Find angle \(k\)

Use the property of vertical angles (\(k\) and \(121^{\circ}\) are vertical angles).

$$k = 121^{\circ}$$

Answer:

\(h = 61^{\circ}\), \(g = 119^{\circ}\), \(m = 59^{\circ}\), \(k = 121^{\circ}\)