Respuesta :

Answer:

99°

Step-by-step explanation:

  • m∠VUT = 10x + 9
  • m∠BUT = 7x - 1
  • m∠VUB = 37°
  • m∠VUT = ?

We see that

  • m∠VUT = m∠BUT + m∠VUT
  • 10x + 9 = 7x - 1 + 37
  • 10x - 7x = 36 - 9
  • 3x = 27
  • x = 9

Angle VUT measures:

  • 10x + 9 = 10*9 + 9 = 99°