Question

look at this diagram:
if \\( \overleftrightarrow{ik} \\) and \\( \overleftrightarrow{ln} \\) are parallel lines and \\( m\angle ijm = 111^\circ \\), what is \\( m\angle lmo \\)?
\\( \square^\circ \\)

Explanation:

Step1: Identify angle relationship

$\angle IJM$ and $\angle LMO$ are alternate interior angles.

Step2: Apply parallel line property

For parallel lines, alternate interior angles are congruent.
$m\angle LMO = m\angle IJM$

Step3: Substitute given angle value

$m\angle LMO = 111^\circ$

Answer:

$111$