Question

line jl and line km intersect at point h. find the three unknown angle measures in the figure. first, find ( mangle khl ). ( mangle khl = 129 ) now, find ( mangle lhm ). ( mangle lhm = square )

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. $\angle KHL$ and $\angle JHM$ are vertical angles. $\angle JHK$ and $\angle LHM$ are vertical angles.

Step2: Use the property of vertical angles

Since $\angle JHK = 51^{\circ}$, and $\angle JHK$ and $\angle LHM$ are vertical angles.
By the vertical - angles theorem, $m\angle LHM=m\angle JHK$.

Answer:

$51$