Look at this diagram:

Question

P
Q
R
S
T
U
V
W




























If
QS
and
TV
are parallel lines and
m
TUR
= 50°, what is
m
SRU
?

Answer 1

To find the measure of angle \( mSRU \), we can use the property that alternate interior angles are equal when a transversal crosses parallel lines.

Given that \( QS \) and \( TV \) are parallel lines and that \( mTUR = 50^\circ \), we can identify \( \angle TUR \) and \( \angle SRU \) as alternate interior angles.

Therefore, we have:

\[ mSRU = mTUR \]

Since \( mTUR = 50^\circ \), it follows that:

\[ mSRU = 50^\circ \]

Thus,

\[ \boxed{50^\circ} \] is the measure of angle \( mSRU \).