Question

look at this diagram. if (overline{il}) and (overline{mo}) are parallel lines and (mangle mnk = 62^{circ}), what is (mangle lon)

Explanation:

Step1: Identify angle - relationship

$\angle MNK$ and $\angle LON$ are corresponding angles.

Step2: Apply property of corresponding angles

For parallel lines $IL$ and $MO$ cut by transversal $PQ$, corresponding angles are equal. So $m\angle LON=m\angle MNK$.

Answer:

$62^{\circ}$