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 ^ { circ } )
now, find ( mangle lhm ).
( mangle lhm = square ^ { circ } )

Explanation:

Step1: Identify vertical angles

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

Step2: Calculate $m\angle LHM$

Since $\angle KJH = 51^{\circ}$, and $\angle KJH$ and $\angle LHM$ are vertical angles. So $m\angle LHM=51^{\circ}$

Answer:

$51$