Respuesta :

Answer:

  • a = 4√5

Step-by-step explanation:

Given

  • Trapezoid XYWZ

As given, sides XW and YZ are parallel and XY = WZ

Since it is isosceles, angles X and W are of same size

Therefore:

  • a² + 15 = 2a² - 65
  • 2a² - a² = 15 + 65
  • a² = 80
  • a = √80
  • a = 4√5