QUESTION IMAGE
Question
tv and wy are parallel lines. which angles are supplementary angles? ∠yxu and ∠vus ∠yxu and ∠yxz ∠yxu and ∠tux ∠yxu and ∠wxz
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.
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∠YXU and ∠YXZ