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In circle ABCDE, AC is a chord. AFD EFB. If ADE = 40^ and AED = ABC, find AED.

Mathematics

ScanSolve AI Answer

Here's a step-by-step solution for Question 9.

Given Information:

  • Circle ABCDE.
  • AC is a chord.
  • AFD⊥EFBAFD \perp EFB, which means the lines ADAD and EBEB intersect at FF at a 90∘90^\circ angle. So, ∠AFE=∠EFD=∠DFB=∠BFA=90∘\angle AFE = \angle EFD = \angle DFB = \angle BFA = 90^\circ.
  • ∠D1=40∘\angle D1 = 40^\circ, which is ∠ADE=40∘\angle ADE = 40^\circ.
  • ∠E=∠B1\angle E = \angle B1, which is ∠AED=∠ABC\angle AED = \angle ABC.

**9.1 Name THREE angles each equal to

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