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

Substitute values and solve for x:

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

Find the measure of AEC:

m∠AEC = 4*20 = 80°

AED and AEC form a linear pair hence supplementary:

m∠AED = 180° - m∠AEC

Find the measure of ∠AED:

m∠AED = 180° - 80° = 100°

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