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 supplementary angles

Supplementary angles add up to \(180^{\circ}\). \(\angle KHL\) and \(\angle MHJ\) are supplementary.
\(m\angle KHL + m\angle MHJ=180^{\circ}\)

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

Since \(m\angle KHL = 129^{\circ}\), then \(129^{\circ}+m\angle MHJ = 180^{\circ}\)

Step3: Solve for \(m\angle MHJ\)

\(m\angle MHJ=180^{\circ}- 129^{\circ}=51^{\circ}\)

Answer:

\(51\)