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 = 51^circ )
finally, find ( mangle mhj ).
( mangle mhj = square^circ )
(figure shows lines jl and km intersecting at h, with angles: 51°, 129°, 51° at h)

Explanation:

Step1: Identify supplementary angle pair

$\angle MHJ$ and $\angle JHK$ are supplementary (form a straight line on line $KM$), so their sum is $180^\circ$.

Step2: Substitute known angle value

We know $m\angle JHK = 51^\circ$, so calculate:
$m\angle MHJ = 180^\circ - 51^\circ$

Step3: Compute the final value

$m\angle MHJ = 129^\circ$

Answer:

$m\angle MHJ = 129^\circ$