Question

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

Explanation:

Step1: Use vertical - angle property for \(m\) and \(k\)

Vertical angles are equal. Since \(m = 82^{\circ}\), then \(k=82^{\circ}\).

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

\(h\) and the \(112^{\circ}\) angle are a linear pair. A linear pair of angles sums to \(180^{\circ}\). So \(h = 180 - 112=68^{\circ}\).

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

\(g\) and the \(112^{\circ}\) angle are vertical angles. Vertical angles are equal, so \(g = 112^{\circ}\).

Answer:

\(g = 112^{\circ}\), \(h = 68^{\circ}\), \(k = 82^{\circ}\), \(m = 82^{\circ}\)