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=)

Explanation:

Step1: Use the property of supplementary angles

When two lines intersect, adjacent angles are supplementary (their sum is \(180^{\circ}\)).
\(m\angle KHJ + m\angle KHL=180^{\circ}\)
Given \(m\angle KHJ = 51^{\circ}\), then \(51^{\circ}+m\angle KHL = 180^{\circ}\)

Step2: Solve for \(m\angle KHL\)

Subtract \(51^{\circ}\) from both sides of the equation:
\(m\angle KHL=180^{\circ}- 51^{\circ}\)
\(m\angle KHL = 129^{\circ}\)

Answer:

\(129\)