Look at this diagram:

Question

S
T
U
V
W
X
Y
Z




























If
TV
and
WY
are parallel lines and
m
WXU
= 50°, what is
m
VUX
?

Answer 1

To find \( m\angle VUX \), we'll use the properties of parallel lines and angles.

Given that lines \( TV \) and \( WY \) are parallel, we know that the angles formed by a transversal have specific relationships.

The angle \( WXU \) and the angle \( VUX \) are corresponding angles in relation to the transversal \( XU \) intersecting the parallel lines \( TV \) and \( WY \).

Since \( m WXU = 50^\circ \), we find that:

\[ m \angle VUX = m \angle WXU = 50^\circ \]

Therefore,

\[ m \angle VUX = 50^\circ \]