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 = 51 )
finally, find ( mangle mhj ).
( mangle mhj = )

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. $\angle MHJ$ and $\angle KHL$ are vertical angles.

Step2: Substitute the value of $\angle KHL$

Since $m\angle KHL = 129^{\circ}$, then $m\angle MHJ=m\angle KHL$.

Answer:

$129$