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 the given $129^{\circ}$ angle are vertical angles.

Step2: Determine the measure of $\angle MHJ$

Since vertical angles are equal, $m\angle MHJ = 129^{\circ}$

Answer:

$129$