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 = 51 )
finally, find ( mangle mhj ).
( mangle mhj = )
( mangle mhj = 180^{circ}-mangle lhm )
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Explanation:

Step1: Use the formula for supplementary angles

Since \(m\angle MHJ = 180^{\circ}-m\angle LHM\) (supplementary angles form a linear - pair).

Step2: Substitute the value of \(m\angle LHM\)

We know that \(m\angle LHM = 51^{\circ}\). So, \(m\angle MHJ=180 - 51\).

$$m\angle MHJ=129^{\circ}$$

Answer:

\(m\angle MHJ = 129^{\circ}\)