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 = °

Explanation:

Step1: Identify angle relationship

∠MHJ and ∠KHL are vertical angles (or ∠MHJ and the 129° angle, or ∠MHJ + 51° = 180° as supplementary angles). Let's use supplementary: ∠MHJ + 51° = 180° (since they form a linear pair).

Step2: Solve for ∠MHJ

Subtract 51° from 180°: \( m\angle MHJ = 180 - 51 = 129 \)

Answer:

129