Question

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

Explanation:

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

Vertical angles are equal. Since the angle vertical to \(g\) is \(118^{\circ}\), then \(g = 118^{\circ}\).

Step2: Use supplementary - angle property for \(h\)

Supplementary angles add up to \(180^{\circ}\). So \(h=180 - 118=62^{\circ}\).

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

Vertical angles are equal. Since the angle vertical to \(k\) is \(133^{\circ}\), then \(k = 133^{\circ}\).

Step4: Use supplementary - angle property for \(m\)

Supplementary angles add up to \(180^{\circ}\). So \(m=180 - 133 = 47^{\circ}\).

Answer:

\(g = 118^{\circ}\), \(h = 62^{\circ}\), \(k = 133^{\circ}\), \(m = 47^{\circ}\)