488,236 views
24 votes
24 votes
HELP ASAP PLEASE!!
8.What is mZDFE?

HELP ASAP PLEASE!! 8.What is mZDFE?-example-1
User Bkrishnan
by
2.8k points

2 Answers

19 votes
19 votes

Answer:

119

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

User Jeff Davis
by
2.8k points
19 votes
19 votes

Answer:

  • 119°

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
User Karolkpl
by
2.8k points