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. Since \(m\) and \(81^{\circ}\) are vertical angles, \(m = 81^{\circ}\).

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

A linear - pair of angles sums to \(180^{\circ}\). Since \(k\) and \(81^{\circ}\) form a linear pair, \(k=180 - 81=99^{\circ}\).

Step3: Use linear - pair property for \(g\)

Since \(g\) and \(123^{\circ}\) form a linear pair, \(g = 180-123 = 57^{\circ}\).

Step4: Use vertical - angle property for \(h\)

Since \(h\) and \(123^{\circ}\) are vertical angles, \(h = 123^{\circ}\).

Answer:

\(g = 57^{\circ}\), \(h = 123^{\circ}\), \(k = 99^{\circ}\), \(m = 81^{\circ}\)