Question

look at this diagram:
if $overleftrightarrow{jl}$ and $overleftrightarrow{mo}$ are parallel lines and $mangle mnp = 63^circ$, what is $mangle lki$?
$\square^circ$

Explanation:

Step1: Identify the relationship between angles

Since \( \overleftrightarrow{JL} \) and \( \overleftrightarrow{MO} \) are parallel lines, and \( \overleftrightarrow{PI} \) is a transversal, \( \angle MNP \) and \( \angle LKI \) are corresponding angles. Corresponding angles formed by a transversal with parallel lines are equal.

Step2: Determine the measure of \( \angle LKI \)

Given \( m\angle MNP = 63^\circ \), by the corresponding angles postulate, \( m\angle LKI = m\angle MNP \).

Answer:

\( 63 \)