Question
If
SU
and
VX
are parallel lines and mXWT = 139°, what is mVWY?
SU
and
VX
are parallel lines and mXWT = 139°, what is mVWY?
Answers
GPT-4o mini
If \( SU \) and \( VX \) are parallel lines, and \( mXWT = 139^\circ \), we can use the properties of angles formed by a transversal intersecting parallel lines to find \( mVWY \).
Assuming that \( XWT \) is a transversal intersecting the parallel lines, we have:
1. \( mXWT = 139^\circ \) is an exterior angle.
2. \( mVWY \) is an angle that is alternate interior to \( mXWT \).
By the property of alternate interior angles being equal when two lines are parallel, we can say that:
\[
mVWY = mXWT
\]
Thus,
\[
mVWY = 139^\circ
\]
Therefore, the measure of angle \( VWY \) is \( 139^\circ \).
Assuming that \( XWT \) is a transversal intersecting the parallel lines, we have:
1. \( mXWT = 139^\circ \) is an exterior angle.
2. \( mVWY \) is an angle that is alternate interior to \( mXWT \).
By the property of alternate interior angles being equal when two lines are parallel, we can say that:
\[
mVWY = mXWT
\]
Thus,
\[
mVWY = 139^\circ
\]
Therefore, the measure of angle \( VWY \) is \( 139^\circ \).
If
NP
and
QS
are parallel lines and mNOR = 65°, what is mSRO?
NP
and
QS
are parallel lines and mNOR = 65°, what is mSRO?