Question

look at this diagram:
if \\( \overleftrightarrow { k m } \\) and \\( \overleftrightarrow { n p } \\) are parallel lines and \\( m \angle m l o = 48 ^ { \circ } \\), what is \\( m \angle n o l \\)?

Explanation:

Step1: Identify vertical angles

$\angle MLO$ and $\angle KLJ$ are vertical angles, so $m\angle KLJ = m\angle MLO = 48^\circ$.

Step2: Identify corresponding angles

Since $KM \parallel NP$, $\angle KLJ$ and $\angle NOL$ are corresponding angles, so $m\angle NOL = m\angle KLJ = 48^\circ$.

Answer:

48