Question

look at this diagram:
if \overleftrightarrow{km} and \overleftrightarrow{np} are parallel lines and m\angle pol = 47°, what is m\angle mlj?
\boxed{\space}°

Explanation:

Step1: Identify Angle Relationship

Since \( \overleftrightarrow{KM} \parallel \overleftrightarrow{NP} \) and \( \overleftrightarrow{JQ} \) is a transversal, \( \angle MLJ \) and \( \angle POL \) are corresponding angles. Corresponding angles are equal when lines are parallel.

Step2: Determine \( m\angle MLJ \)

Given \( m\angle POL = 47^\circ \), by the Corresponding Angles Postulate, \( m\angle MLJ = m\angle POL \).

Answer:

\( 47 \)