Answer: m<KHL = 37 degrees.
m<GHK = 53 degrees
Explanation:
<CHD and <KHL are vertical angles. They are equal in measure. m<CHD is 37 degrees, so m<KHL is also 37 degrees.
Notice <GHL is a 90 degree angle (because the lines that form it are perpendicular) and <GHL is made up of two angles: <GHK and <KHL.
m<GHK + m<KHL (37) = m< GHL (90 degrees)
Subtract 37 from both sides.
m<GHK = 53 degrees