Question

find the measure of the missing angles. answer attempt 1 out of 2 g = h = k = m =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(h\) and the \(127^{\circ}\) angle are vertical angles. So \(h = 127^{\circ}\).

Step2: Use linear - pair property

Angles \(h\) and \(g\) form a linear pair. A linear pair of angles sums to \(180^{\circ}\). So \(g=180 - 127=53^{\circ}\).

Step3: Use vertical - angle property for the second set

Angle \(m\) and the \(98^{\circ}\) angle are vertical angles. So \(m = 98^{\circ}\).

Step4: Use linear - pair property for the second set

Angles \(m\) and \(k\) form a linear pair. So \(k = 180-98 = 82^{\circ}\).

Answer:

\(g = 53^{\circ}\), \(h = 127^{\circ}\), \(k = 82^{\circ}\), \(m = 98^{\circ}\)