Respuesta :

Hey! So the answer is Y=30 and x = 114

Answer:

  • 114 and 30

Step-by-step explanation:

The angles with measure of 66 and x are consecutive interior angles and therefore supplementary:

  • x + 66 = 180
  • x = 180 - 66
  • x = 114

The angles x and 4y - 6 are alternate interior angles and therefore congruent:

  • x = 4y - 6
  • 114 = 4y - 6
  • 4y = 114 + 6
  • 4y = 120
  • y = 120/4
  • y = 30