Question

rt and uw are parallel lines.
which angles are supplementary angles?
∠rsv and ∠tsq
∠rsv and ∠wvs
∠rsv and ∠uvx
∠rsv and ∠rsq

Explanation:

Step1: Recall supplementary - angles definition

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

Step2: Analyze each option

• For ∠RSV and ∠TSQ: They are vertical angles and are equal in measure, not supplementary.
• For ∠RSV and ∠WVS: They are alternate interior angles (since RT || UW) and are equal in measure, not supplementary.
• For ∠RSV and ∠UVX: They are corresponding angles (since RT || UW) and are equal in measure, not supplementary.
• For ∠RSV and ∠RSQ: ∠RSV and ∠RSQ form a straight - line (QS is a straight - line). So, ∠RSV+∠RSQ = 180 degrees. They are supplementary.

Answer:

∠RSV and ∠RSQ