If the m∠SRW = 85°, what are the measures of ∠VRU and ∠URW? m∠VRU = ° m∠URW = °

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Step-by-step explanation:

∠TRV = ∠SRW ( vertical angles ), hence

2x + 15 = 85 ( subtract 15 from both sides )

2x = 70 ( divide both sides by 2 )

x = 35

Hence

∠VRU = 2x + 10 = ( 2 × 35) + 10 = 70 + 10 = 80°

and

∠URW + ∠VRU + ∠SRW = 180 ( sum of angles in a straight line ), thus

∠URW + 80 + 85 = 180

∠URW + 165 = 180 ( subtract 165 from both sides )

∠URW = 15°