Question
Look at this diagram:
Q
R
S
T
U
V
W
X
If
RT
and
UW
are parallel lines and mWVX= 130°, what is mUVS?
Q
R
S
T
U
V
W
X
If
RT
and
UW
are parallel lines and mWVX= 130°, what is mUVS?
Answers
GPT-4o mini
To find \( mUVS \), we can use the properties of parallel lines and alternate interior angles.
Since \( RT \) and \( UW \) are parallel lines, and \( WVX \) is a transversal crossing both lines, the angle \( mWVX \) at point \( W \) is 130°.
By the properties of alternate interior angles, \( mUVS \) is equal to \( mWVX \). Therefore:
\[
mUVS = mWVX = 130°
\]
Thus, the measure of angle \( UVS \) is 130°.
Since \( RT \) and \( UW \) are parallel lines, and \( WVX \) is a transversal crossing both lines, the angle \( mWVX \) at point \( W \) is 130°.
By the properties of alternate interior angles, \( mUVS \) is equal to \( mWVX \). Therefore:
\[
mUVS = mWVX = 130°
\]
Thus, the measure of angle \( UVS \) is 130°.