jeanettelopez2456 jeanettelopez2456
  • 02-08-2020
  • Mathematics
contestada


9. Find the value of x. Using that value, what is the
measurement of ZUTQ?
thank you <3

9 Find the value of x Using that value what is the measurement of ZUTQ thank you lt3 class=

Respuesta :

AnikaMehrotra AnikaMehrotra
  • 02-08-2020

Answer:

92°

Step-by-step explanation:

We know that [tex]\overline{QV}[/tex] is a straight line which means that we know that ∠QTU + ∠VTU = 180

11x+4+∠VTU = 180

∠VTU = 180-11x-4

∠VTU = 176-11x

Then, using the triangle inequality, we know that ∠VTU+∠TUV+∠UVT = 180

3x+14+54+176-11x=180

-8x+244=180

-8x = -64

x=8

Now we can substitute and solve for ∠UTQ

11(8)+4 = 88+4 = 92°

Answer Link
TUCUZOMA46 TUCUZOMA46
  • 02-08-2020

Answer: 92°

Step-by-step explanation:

Answer Link

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