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victus00 [196]
2 years ago
13

How does one go about completing this?

Mathematics
1 answer:
natali 33 [55]2 years ago
4 0

Answer:

  • 100°

Step-by-step explanation:

∠AEC ≅ ∠BED as vertically opposite angles

  • m∠AEC = m∠BED = 1/2(mAC + mBD), angles between intersecting chords

<u>Substitute values and solve for x:</u>

  • 4x = 1/2(120 + 2x)
  • 4x = 60 + x
  • 3x = 60
  • x = 20

<u>Find the measure of AEC:</u>

  • m∠AEC = 4*20 = 80°

<u>AED and AEC form a linear pair hence supplementary:</u>

  • m∠AED = 180° - m∠AEC<u> </u>

<u>Find the measure of ∠AED:</u>

  • m∠AED = 180° - 80° = 100°
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