Question

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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 = )

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: Find $m\angle LHM$

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:

$51$