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Which angles are linear pairs? Check all that apply.

Option 1: ∠SRT and ∠TRV
Option 2: ∠SRT and ∠TRU
Option 3: ∠VRW and ∠WRS
Option 4: ∠VRU and ∠URS

User Smedegaard
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1 Answer

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Final answer:

Linear pairs are adjacent angles whose non-common sides form a straight line, and together sum up to 180 degrees. Without a diagram, it's impossible to confirm which angle pairs given are linear pairs. However, each pair listed has the potential to be a linear pair if the vertices and sides align appropriately.

Step-by-step explanation:

Linear pairs of angles are pairs of adjacent angles where the non-common sides form a straight line. This means that the two angles in a linear pair are supplementary and add up to 180 degrees. To identify which options are linear pairs, we must look for sets of angles that share a common vertex and a common side, with their non-common sides extending in opposite directions to form a line.

  • Option 1: ∠SRT and ∠TRV are likely to be a linear pair if point T is on the straight line formed by points S, R, and V.
  • Option 2: ∠SRT and ∠TRU could be a linear pair if points T, R, and U all lie on the same straight line.
  • Option 3: ∠VRW and ∠WRS could form a linear pair if point W is on the straight line that includes points V, R, and S.
  • Option 4: ∠VRU and ∠URS are likely to be a linear pair if point U lies on the line from point V through R to S.

Without a visual diagram, we cannot definitively say which ones are linear pairs, as it depends on the actual position of the points mentioned in the options.

User Luka
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