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

∠VRU = 80°

∠URW = 15°

Step-by-step explanation:

Given that,

∠TRV = ∠SRW ( vertical opposite angle)

2x + 15 = 85

2x = 70

x = 35

So,

∠VRU = 2x + 10

∠VRU = (2×35) + 10

∠VRU = 70 + 10

∠VRU = 80°

∠URW = 180 - ∠VRU - ∠SRW

∠URW = 180 - 85 - 80

∠URW = 15°

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47