Respuesta :

Answer:

  • x = 15

Step-by-step explanation:

Since the quadrilateral is inscribed into circle, its opposite angles are supplementary:

  • m∠H + m∠K = 180°

Substitute the values and solve for x:

  • 5x - 22 + 8x + 7 = 180
  • 13x - 15 = 180
  • 13x = 195
  • x = 195/13
  • x = 15

Answer:

Solution ::

According to the property of Cyclic Quadrilateral

5x - 22 + 8x + 7 = 180

(5x + 8x) - (22 - 7) = 180

13x - 15 = 180

13x = 180 + 15

13x = 195

x = 195/13

x = 15

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