G

Question

H
I
J
K
L
M
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If
HJ
and
KM
are parallel lines and
m
JIL
= 66°, what is
m
MLI
?

Answer 1

To find the measure of angle \( MLI \), we can use the information about the parallel lines \( HJ \) and \( KM \) and the given angle \( mJIL = 66^\circ \).

Since \( HJ \) and \( KM \) are parallel lines, the angles formed by a transversal line (which is the line that intersects the two parallel lines) have specific relationships. In this case, angles \( JIL \) and \( MLI \) are corresponding angles.

Corresponding angles are equal when the lines are parallel. Therefore, we have:

\[ m JIL = m MLI \]

Given that \( m JIL = 66^\circ \), it follows that:

\[ m MLI = 66^\circ \]

Thus, the measure of angle \( MLI \) is \( 66^\circ \).