If the m∠srw = 85°, what are the measures of ∠vru and ∠urw?
m∠vru = °
m∠urw = °

The measure of m∠VRU and m∠URW are 80 and 15 degrees respectively

From the given diagram;

m∠SRW = m∠TRV

Given the following:

m∠SRW = 85

m∠TRV = 2x + 15

Equating both expressions

2x + 15 = 85

2x = 70

x = 70/2

x = 35

Get m∠VRU

m∠VRU = 2x + 10

m∠VRU = 2(35) + 10

m∠VRU = 80degrees

Get m∠URW:

m∠URW = 180 - (85+80)

m∠URW = 180 - 165

m∠URW = 15degrees

Hence the measure of m∠VRU and m∠URW are 80 and 15 degrees respectively.

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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°

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step-by-step explanation: