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=□°

Explanation:

Step1: Use the linear - pair relationship

Angles on a straight line sum to \(180^{\circ}\). \(\angle JHK\) and \(\angle KHL\) form a linear pair. Given \(m\angle JHK = 51^{\circ}\).
Let \(m\angle KHL=x\). Then \(x + 51^{\circ}=180^{\circ}\).

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:

\(129\)