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 are supplementary.
they have the same measure.

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. In the figure, the angles opposite each other at point \(H\) are vertical angles. For example, the \(51^{\circ}\) angle and its opposite angle are vertical angles.

Step2: Analyze the relationship

Since vertical angles have the same measure, the angles on opposite sides of point \(H\) (vertical angles) have the same measure.

Answer:

They have the same measure.