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12 votes
I need help with this geometry question asap!

I need help with this geometry question asap!-example-1
User AxxE
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1 Answer

29 votes
29 votes

Answer:

A, D

Explanation:

Lines are parallel if consecutive interior angles at a transversal are supplementary.

Application

In the given figure, angles EAH and AED are consecutive interior angles associated with transversal AE. If they total 180°, then AC║EF.

Similarly, angles FCI and CFG are consecutive interior angles associated with transversal CF. If they total 180°, then AC║EF.

Either of these will prove AC║EF:

  • ∠EAH +∠AED = 180°
  • ∠FCI +∠CFG = 180°
User Chadwackerman
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