Question

Which angles are linear pairs? Check all that apply.

Answer 1

we know that

A linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal $180$ degrees

So

case a) ∠SRT and ∠TRV

∠$SRT +$∠$TRV=180$°----> by supplementary angles

therefore

∠SRT and ∠TRV is a linear pair

case b) ∠SRT and ∠TRU

∠$SRT +$∠$TRU > 180$°----> are not supplementary angles

therefore

∠SRT and ∠TRU is not a linear pair

case c) ∠VRW and ∠WRS

∠$VRW +$∠$WRS = 180$°----> by supplementary angles

therefore

∠VRW and ∠WRS is a linear pair

case d) ∠VRU and ∠URS

∠$VRU +$∠$URS = 180$°----> by supplementary angles

therefore

∠VRU and ∠URS is a linear pair

case e) ∠URW and ∠WRS

∠$SRT +$∠$TRU < 180$°----> are not supplementary angles

therefore

∠URW and ∠WRS is not a linear pair

Answer 2

Answer:

Step-by-step explanation:

The correct answer is A C and D