Respuesta :

Answer:

  • ∠T = 110

Step-by-step explanation:

We know that:

  • ∠T = ∠R
  • ∠U = ∠S
  • ∠U = 23x + 1
  • ∠T = 37x - 1
  • ∠R + ∠T + ∠S + ∠U = 360

Solution:

  • ∠R + ∠T + ∠S + ∠U = 360
  • => 37x - 1 + 37x - 1 + 23x + 1 + 23x + 1 = 360
  • => 74x - 2 + 46x + 2 = 360
  • => 120x = 360
  • => x = 3
  • => ∠T = 37(3) - 1
  • => ∠T = 111 - 1
  • => ∠T = 110

Hence, the measure of ∠T is 110°.