Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

given the information in the diagram, which theorem best justifies why …

Question

given the information in the diagram, which theorem best justifies why lines j and k must be parallel? alternate exterior angles theorem converse alternate exterior angles theorem alternate interior angles theorem converse alternate interior angles theorem

Explanation:

Brief Explanations
  • Alternate exterior angles are angles that lie outside the two lines and on opposite sides of the transversal.
  • The converse of a theorem is used to prove that two lines are parallel. If the alternate exterior angles are equal, then the lines are parallel. In this case, the angles shown are alternate exterior angles and their equality is used to justify the parallelism of lines \(j\) and \(k\).

Answer:

converse alternate exterior angles theorem