Question

line jl and line km intersect at point h. find the three unknown angle measures in the figure.
what do you notice about the angles on opposite sides of point h?
they have the same measure.
they are supplementary.

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. In the figure, the angle opposite to \(51^{\circ}\) is also \(51^{\circ}\), and the angle opposite to \(129^{\circ}\) is also \(129^{\circ}\).

Step2: Check supplementary angles

Adjacent angles on a straight line are supplementary. For example, \(51^{\circ}+ 129^{\circ}=180^{\circ}\)

Answer:

The three unknown angle measures are \(51^{\circ}\), \(129^{\circ}\), \(51^{\circ}\)