Question

look at this diagram:
if \\(\overleftrightarrow{oq}\\) and \\(\overleftrightarrow{rt}\\) are parallel lines and \\(m\angle tsp = 64^\circ\\), what is \\(m\angle ops\\)?
\\(\square^\circ\\)

Explanation:

Step1: Identify alternate interior angles

Since $\overleftrightarrow{OQ} \parallel \overleftrightarrow{RT}$, and transversal $\overleftrightarrow{UN}$ intersects them, $\angle TSP$ and $\angle OPS$ are alternate interior angles.

Step2: Apply alternate interior angles theorem

Alternate interior angles formed by parallel lines and a transversal are congruent, so $m\angle OPS = m\angle TSP$.
<Expression>$m\angle OPS = 64^\circ$</Expression>

Answer:

$64^\circ$