Question

look at this diagram: if hj and km are parallel lines and m∠jig= 54.7°, what is m∠jil? blank° submit

Explanation:

Step1: Identify angle relationship

Since \( HJ \parallel KM \) and \( NG \) is a transversal, \( \angle JIG \) and \( \angle JIL \) are supplementary (they form a linear pair, so their sum is \( 180^\circ \)).

Step2: Calculate \( m\angle JIL \)

We know \( m\angle JIG = 54.7^\circ \). Using the supplementary angle formula \( m\angle JIL + m\angle JIG = 180^\circ \), we solve for \( m\angle JIL \):
\( m\angle JIL = 180^\circ - 54.7^\circ \)
\( m\angle JIL = 125.3^\circ \)

Answer:

\( 125.3 \)