Respuesta :

mhanifa

Answer:

  • x = 18, y = 7

Step-by-step explanation:

Given is the cyclic quadrilateral.

Opposite angles of cyclic quadrilateral are supplementary:

  • m∠U + m∠W = 180
  • 14 + 4x + 6x - 14 = 180
  • 10x = 180
  • x = 18
  • m∠V + m∠T = 180
  • 15y - 4 + 12y - 5 = 180
  • 27y = 189
  • y = 189/27
  • y = 7
MisterBrainly

U and w are opposing so supplementary

  • 14+4x+6x-14=180
  • 10x=180
  • x=18

Same efor V and T

  • 15y-4+12y-5=180
  • 27y-9=180
  • 27y=189
  • y=7

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