Question

line jl and line km intersect at point h. find the three unknown angle measures in the figure.
first, find m∠khl.
m∠khl = 129 °
now, find m∠lhm.
m∠lhm = 51 °
finally, find m∠mhj.
m∠mhj = \\(\square\\)°

Explanation:

Step1: Identify supplementary angles

∠KHL and 51° are supplementary.
$m∠KHL = 180° - 51° = 129°$

Step2: Identify vertical angles

∠LHM is vertical to 51°.
$m∠LHM = 51°$

Step3: Identify vertical angles

∠MHJ is vertical to ∠KHL.
$m∠MHJ = 129°$

Answer:

129