Question

su and vx are parallel lines. which angles are supplementary angles? ∠utr and ∠str ∠utr and ∠stw ∠utr and ∠xwt ∠utr and ∠vwy

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 ∠UTR and ∠STR: They are adjacent angles and form a straight - line at point T on line SU. So, ∠UTR+∠STR = 180 degrees.
• For ∠UTR and ∠STW: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠UTR and ∠XWT: There is no relationship that makes their sum 180 degrees.
• For ∠UTR and ∠VWY: There is no relationship that makes their sum 180 degrees.

Answer:

∠UTR and ∠STR