Question

find the measure of the missing angles.

Explanation:

Step1: Use vertical - angle property for \(h\)

Vertical angles are equal. So \(h = 50^{\circ}\) since the angle opposite to \(h\) is \(50^{\circ}\).

Step2: Use linear - pair property for \(g\)

\(g\) and \(50^{\circ}\) form a linear pair. So \(g=180 - 50=130^{\circ}\).

Step3: Use vertical - angle property for \(m\)

Vertical angles are equal. So \(m = 39^{\circ}\) since the angle opposite to \(m\) is \(39^{\circ}\).

Step4: Use linear - pair property for \(k\)

\(k\) and \(39^{\circ}\) form a linear pair. So \(k = 180-39 = 141^{\circ}\).

Answer:

\(g = 130^{\circ}\), \(h = 50^{\circ}\), \(k = 141^{\circ}\), \(m = 39^{\circ}\)