Question

Which angles are linear pairs? Check all that apply.

1) lsrt and ltrv
2) 3) 2vrw and zwrs
4) lvru and lurs
5) lurw and

Answer 1

The angles that form linear pairs among the given options are:

• 1) ∠SRT and ∠TRV
• 2) ∠VRW and ∠WRS

Step-by-step explanation:

Linear pairs are a pair of adjacent angles whose non-common sides form a straight line, totaling to 180 degrees. In option 1, angles ∠SRT and ∠TRV share a common side (TR) and their non-common sides form a straight line (RSV), meeting the criteria of a linear pair. For option 2, angles ∠VRW and ∠WRS also fulfill the condition as they are adjacent angles with a common side (WR) and their non-common sides together form a straight line (VWS).

However, the other options, 3) ∠2VRW and ∠ZWRS, and 4) ∠LVRU and ∠LURS, do not satisfy the criteria of linear pairs. In the case of option 3, the angles do not share a common side, and in option 4, while they share a common side, their non-common sides do not form a straight line.

Therefore, only options 1) ∠SRT and ∠TRV, and 2) ∠VRW and ∠WRS are examples of linear pairs among the given choices. These pairs meet the criteria of being adjacent angles with non-common sides forming a straight line, resulting in a combined angle measure of 180 degrees.