Question

look at this diagram:
if (overline{hj}) and (overline{kn}) are parallel lines and (mangle jil = 60^{circ}), what is (mangle kli?)

Explanation:

Step1: Identify corresponding angles

Since \( HJ \parallel KM \) and \( NG \) is a transversal, \( \angle HIL \) and \( \angle KLT \) are corresponding angles.

Step2: Use the property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. So \( m\angle KLT=m\angle HIL \).

Answer:

\( 60^{\circ} \)