Question

look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarrow{ln}) are parallel lines and (mangle ijm = 63^{circ}), what is (mangle lmo?)

Explanation:

Step1: Identify angle - type relationship

$\angle IJM$ and $\angle LMO$ are corresponding angles.

Step2: Apply property of corresponding angles

For parallel lines $IK$ and $LN$, corresponding angles are equal. Since $m\angle IJM = 63^{\circ}$, then $m\angle LMO=m\angle IJM$.

Answer:

$63$