Question

find the measure of the missing angles. answer attempt 2 out of 2 g = 62° h = 118° k = 47° m = 133°

Explanation:

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

Vertical angles are equal. So \(h = 118^{\circ}\) and \(m=133^{\circ}\) since they are vertical to the given \(118^{\circ}\) and \(133^{\circ}\) angles respectively.

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

A linear pair of angles sums to \(180^{\circ}\). For the linear pair with the \(118^{\circ}\) angle, \(g = 180 - 118=62^{\circ}\).

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

For the linear pair with the \(133^{\circ}\) angle, \(k = 180 - 133 = 47^{\circ}\).

Answer:

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