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Question

RT
and
UW
are parallel lines and mTSV = 129°, what is mWVX?

Answer 1

To find the measure of angle \( mWVX \), we will use the properties of parallel lines and transversals.

Since lines \( RT \) and \( UW \) are parallel, and \( TSV \) appears to be a transversal that intersects these lines, the angles formed can be related through corresponding angles, alternate interior angles, or same-side interior angles.

Given that \( mTSV = 129^\circ \):

1. If \( TSV \) and \( WVX \) are corresponding angles, then: \[ mWVX = mTSV = 129^\circ. \]
2. If \( TSV \) and \( WVX \) are alternate interior angles, then: \[ mWVX = mTSV = 129^\circ. \]

However, if \( TSV \) and \( WVX \) are same-side interior angles: \[ mWVX + mTSV = 180^\circ \implies mWVX = 180^\circ - mTSV = 180^\circ - 129^\circ = 51^\circ. \]

Without specific relationships given in the question, if we assume that \( TSV \) and \( WVX \) are either corresponding or alternate interior angles, then: \[ mWVX = 129^\circ. \] If they are same-side interior angles, then: \[ mWVX = 51^\circ. \]

Please clarify the relationship of those angles for a definitive answer.