Question

look at this diagram:
diagram of two parallel lines jl and mo cut by a transversal ip, with points j, k, l on the top line and m, n, o on the bottom line, and i, k, n, p on the transversal
if \\(\overleftrightarrow{jl}\\) and \\(\overleftrightarrow{mo}\\) are parallel lines and \\(m\angle mnk = 68^\circ\\), what is \\(m\angle jkn\\)?
blank box for answer\\(^\circ\\)
submit

Explanation:

Step1: Identify alternate interior angles

Since $\overleftrightarrow{JL} \parallel \overleftrightarrow{MO}$, $\angle MNK$ and $\angle JKN$ are alternate interior angles.

Step2: Apply alternate interior angles theorem

Alternate interior angles formed by parallel lines and a transversal are congruent, so $m\angle JKN = m\angle MNK$.
<Expression>
$m\angle JKN = 68^\circ$
</Expression>

Answer:

$68^\circ$