Final answer:
To determine the linear pairs, we look for adjacent angles whose non-common sides form a straight line, indicating they are supplementary and have a sum of 180 degrees. Options (a), (c), and (e) could be linear pairs if they meet this condition. Without a specific figure to reference, we can only make an assumption based on the definition of a linear pair.
Step-by-step explanation:
To determine which angles are linear pairs, we need to understand that a linear pair is a pair of adjacent, supplementary angles. This means that they share a common side and their non-common sides form a straight line. When two angles form a linear pair, the sum of their measures is 180 degrees. Therefore, we are looking for pairs of angles that are adjacent (touching at a vertex and sharing a common side) and whose exterior sides form a straight line.
Considering the options provided:
- Option (a) ∠SRT and ∠TRV could be a linear pair if they are adjacent and their non-common sides form a straight line.
- Option (b) ∠SRT and ∠TRV seems to be a repetition of option (a), so the same condition applies.
- Option (c) ∠VRW and ∠WRS can also be linear pairs if they share a vertex and a side, and form a straight line with their other sides.
- Option (d) ∠VRU and ∠URS are not mentioned to form any straight line or to be adjacent, so we can't conclude they are linear pairs.
- Option (e) ∠URW and ∠WRS could also be linear pairs under the same conditions as stated in (a) and (c).
Without further information or a figure to reference, we can assume that options (a), (c), and (e) are potentially linear pairs, assuming that the pairs meet the criteria of sharing a common side and forming a straight line with their non-common sides.