Question

first, find ( mangle khl ).
( mangle khl = 129^circ )
now, find ( mangle lhm ).
( mangle lhm = ) (circ)

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). \(\angle KHL\) and \(\angle LHM\) are adjacent angles on a straight line.
So, \(m\angle KHL + m\angle LHM=180^{\circ}\)

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

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

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

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

Answer:

\(51\)