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 a straight - line angle

When two lines intersect, adjacent angles form a straight - line (sum to \(180^{\circ}\)).
Let \(m\angle KHL=x\). We know that \(x + 51^{\circ}=180^{\circ}\) (because \(\angle JHK\) and \(\angle KHL\) are adjacent and form a straight line).

Step2: Solve for \(x\)

Subtract \(51^{\circ}\) from both sides of the equation \(x+51^{\circ}=180^{\circ}\).
\(x = 180^{\circ}-51^{\circ}\)
\(x = 129^{\circ}\)

Answer:

\(129\)