melsdior
melsdior melsdior
  • 07-01-2021
  • Mathematics
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Decide whether there is enough information to prove that a∥b. If so, state the theorem you would use.

Decide whether there is enough information to prove that ab If so state the theorem you would use class=

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jimthompson5910 jimthompson5910
  • 07-01-2021

Answer: C) Yes, Alternate Exterior Angles Converse

The two red angles are on the outside of the lines a and b, so they are considered exterior. They alternate on either side of the transversal line. So we consider those red angles to be alternate exterior angles. We'll use the alternate exterior angles converse to prove the lines parallel. That converse states: "If alternate exterior angles are congruent, then the lines are parallel".

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