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tv and wy are parallel lines. which angles are corresponding angles? ∠y…

Question

tv and wy are parallel lines. which angles are corresponding angles? ∠yxu and ∠vus ∠yxu and ∠tux ∠yxu and ∠vux ∠yxu and ∠wxz

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are pairs of angles that are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

  • For \(\angle YXU\) and \(\angle VUS\):

They are in the same relative position (both are on the same side of the transversal \(SZ\) and in the "upper - right" position with respect to their respective parallel lines \(TV\) and \(WY\)).

  • For \(\angle YXU\) and \(\angle TUX\): These are adjacent angles, not corresponding.
  • For \(\angle YXU\) and \(\angle VUX\): These are not in the same relative position.
  • For \(\angle YXU\) and \(\angle WXZ\): These are vertical angles (formed by the intersection of two lines), not corresponding.

Answer:

\(\angle YXU\) and \(\angle VUS\)