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 \(180^{\circ}\). \(\angle MHJ\) and \(\angle KHL\) are supplementary.
\(m\angle MHJ + m\angle KHL=180^{\circ}\)

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

Since \(m\angle KHL = 129^{\circ}\), then \(m\angle MHJ=180^{\circ}- 129^{\circ}\)
\(m\angle MHJ = 51^{\circ}\)

Answer:

\(51\)