D.4 Transversals of parallel lines: find angle measures

Question

WB9

Look at this diagram:

L
M
N
O
P
Q
R
S

If
MO
and
PR
are parallel lines and mONQ= 127°, what is mPQN?

Answer 1

To find $mPQN$ given that $MO$ and $PR$ are parallel lines and $mONQ=127°$, we can use the properties of angles formed by transversals.

Since $MO$ and $PR$ are parallel lines, the angle $ONQ$ (which is 127°) and the angle $PQN$ are corresponding angles. Corresponding angles are equal when a transversal crosses parallel lines.

Thus, we can conclude that:

$$mPQN=mONQ=127°$$

Therefore, $mPQN$ is $127°$.