Question

look at this diagram: if oq and rt are parallel lines and m∠opn = 42°, what is m∠rsp?

Explanation:

Step1: Identify angle - relationship

$\angle OPN$ and $\angle RSP$ are corresponding angles.

Step2: Apply corresponding - angles property

For parallel lines $OQ$ and $RT$ cut by a transversal, corresponding angles are equal. So $m\angle RSP=m\angle OPN$.

Answer:

$42$