Look at this diagram:

Question

L
M
N
O
P
Q
R
S




























If
MO
and
PR
are parallel lines and
m
ONQ
= 116°, what is
m
RQN
?

Answer 1

In the diagram described, we have the lines \( MO \) and \( PR \) as parallel lines. According to the properties of parallel lines cut by a transversal, angles formed on opposite sides of the transversal but inside the parallel lines are alternate interior angles and are equal.

Given that \( m \angle ONQ = 116° \), we can find \( m \angle RQN \).

From the properties of parallel lines, since \( MO \) is parallel to \( PR \):

\[ m \angle RQN = m \angle ONQ \]

Thus,

\[ m \angle RQN = 116° \]

Therefore, the measure of angle \( RQN \) is \( 116° \).