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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: $$mWVX+mTSV={180}^{\circ }⟹mWVX={180}^{\circ }-mTSV={180}^{\circ }-{129}^{\circ }={51}^{\circ }.$$

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.