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

Question

tv and wy are parallel lines. which angles are supplementary angles? ∠yxu and ∠vus ∠yxu and ∠yxz ∠yxu and ∠tux ∠yxu and ∠wxz

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

  • For ∠YXU and ∠VUS: They are not adjacent and do not form a straight - line.
  • For ∠YXU and ∠YXZ: They are adjacent and form a straight - line. Since the measure of a straight - line angle is 180 degrees, ∠YXU+∠YXZ = 180 degrees.
  • For ∠YXU and ∠TUX: They are not adjacent and do not form a straight - line.
  • For ∠YXU and ∠WXZ: They are not adjacent and do not form a straight - line.

Answer:

∠YXU and ∠YXZ