Question

look at this diagram:
if \\( \overleftrightarrow { h j } \\) and \\( \overleftrightarrow { k m } \\) are parallel lines and \\( m \angle k l n = 69 ^ { \circ } \\), what is \\( m \angle h i l? \\)
\\( \square ^ { \circ } \\)

Explanation:

Step1: Identify corresponding angles

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

Step2: Use the property of parallel lines

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

Answer:

\(69\)