Respuesta :

Answer:

119

Step-by-step explanation:

mCE + mBD + mBC + mDE = 360

84 + 38 + mBC + m DE = 360

mBC + mDE = 360 - 84 - 38 = 238

Angle DFE is an interior angle in the circle therefore

DFE = (mBC + mDE)/2 = 238 / 2 = 119

mhanifa

Answer:

  • 119°

Step-by-step explanation:

According to diagram:

  • m∠DFE = m∠BFC (vertical angles)

Angle formed by two chords is half the sum of the intercepted arcs:

  • m∠DFE =
  • 1/2(mBC + mDE) =
  • 1/2(360 - mCE - mBD) =
  • 1/2(360 - 84 - 38) =
  • 1/2(238) =
  • 119

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