Question

look at this diagram: if \\( \overleftrightarrow { m o } \\) and \\( \overleftrightarrow { p r } \\) are parallel lines and \\( m \angle p q n = 52 ^ { \circ } \\), what is \\( m \angle m n l \\)? submit

Explanation:

Step1: Vertical angles

Since $\angle PQN$ and $\angle OQR$ are vertical angles, $m\angle OQR = m\angle PQN=52^{\circ}$.

Step2: Corresponding angles

Because $\overleftrightarrow{MO}\parallel\overleftrightarrow{PR}$, $\angle MNL$ and $\angle OQR$ are corresponding angles. So $m\angle MNL = m\angle OQR$.

Answer:

$52$