Look at this diagram:

Question

J
K
L
M
N
O
P
Q




























If
KM
and
NP
are parallel lines and
m
MLO
= 111°, what is
m
KLJ
?

Answer 1

Given that lines \( KM \) and \( NP \) are parallel and \( m\angle MLO = 111^\circ \), we can find the measure of angle \( m\angle KLJ \).

Since lines \( KM \) and \( NP \) are parallel, the angles formed when a transversal crosses these lines will have specific relationships. Here, angles \( MLO \) and \( KLJ \) are corresponding angles because both are located on the same side of the transversal and between the parallel lines.

In this scenario, the property of corresponding angles states that they are equal when lines are parallel. Hence, since \( m\angle MLO = 111^\circ \), it follows that:

\[ m\angle KLJ = m\angle MLO = 111^\circ. \]

Thus, the measure of angle \( m\angle KLJ \) is \( \boxed{111^\circ} \).