Respuesta :

Answer:

x=6

∠TSU=12x=12(6)=72

Step-by-step explanation:

∠TUS+∠STU+∠TSU=180

∠TUS+12x+81=180

∠TUS=99-12x

∠TUS+∠TUV=180

99-12x+24x+9=180

108+12x=180

12x=72

x=6

∠TSU=12x=12(6)=72

There you go. Try and use these solutions to solve others for yourself. You got it.

mhanifa

Answer:

  • x = 6°
  • ∠TSU = 72°

Step-by-step explanation:

Angle TUV is exterior angle to triangle TUS. Exterior angle measure is equal to sum of non-adjacent interior angles:

  • ∠TUV = ∠STU + ∠TSU
  • 24x + 9 = 81 + 12x

Solving for x

  • 24x - 12x = 81 - 9
  • 12x = 72
  • x  = 72/12
  • x = 6°

Finding angle measure of ∠TSU

  • ∠TSU = 12*6° = 72°

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