Respuesta :

Answer:

  • x = 20

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According to the Angles of Intersecting Chords Theorem, the angle between two chords is half the sum of the intercepted arc measures :

  • m∠AEC = m∠DEB = (mAC + mDB)/2

Substitute and solve for x:

  • 4x = (120 + 2x)/2
  • 4x = 60 + x
  • 3x = 60
  • x = 20