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[FREE] Lines j and k are intersected by line m . At the intersection of . . . The theorem that best justifies why lines j and k must be parallel when line m intersects them and creates angles of 93 degrees at the intersections is the converse alternate interior angles theorem According to this theorem, if the alternate interior angles are congruent, then the two lines intersected by the transversal must be parallel In the given scenario, the angle of 93 degrees at the
[FREE] Given the information in the diagram, which theorem best . . . The converse alternate exterior angles theorem justifies why lines j and k must be parallel The converse alternate exterior angles theorem states that if two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel
Lines j and k are intersected by line m. At the intersection of lines j . . . Lines j and k must be parallel because the angles formed at their intersections with line m are congruent at 93 degrees This congruence leads to the conclusion based on the Converse of the Alternate Exterior Angles Theorem Therefore, the answer is the converse alternate exterior angles theorem
[FREE] Given that \angle 1 \cong \angle 7, which theorem proves that d . . . The converse of the alternate interior angles theorem proves that line d is parallel to line e given that ∠1 is congruent to ∠7 This theorem states that if a pair of alternate interior angles are congruent, then the lines cut by the transversal are parallel This concept applies to ∠1 and ∠7 in the given scenario
Given the information in the diagram, which theorem best justifies why . . . To determine why lines j and k must be parallel, we need to consider the provided theorems regarding angles formed by a transversal cutting through two lines The best theorem to justify the parallel nature of lines j and k in this scenario is the Converse Alternate Exterior Angles Theorem (option D)
Practice writing proofs and solving problems using converses of the . . . The theorem that justifies why lines m and n are parallel when cut by transversal k is the Converse of the Corresponding Angles Theorem According to this theorem, if a transversal intersects two lines and the corresponding angles are congruent, then the lines are parallel In your question, the angle formed at the intersection of lines k and m is 50 degrees The corresponding angle at the
[FREE] Lines j and k are intersected by line m . - At the intersection . . . Lines j and k are intersected by line m At the intersection of lines j and m, the upper left angle is 93 degrees At the intersection of lines k and m, the bottom right angle is 93 degrees Given the information in the diagram, which theorem best justifies why lines j and k must be parallel? A Alternate Interior Angles Theorem B Alternate Exterior Angles Theorem C Converse Alternate
[FREE] Lines e and f are intersected by line a . At the intersection of . . . Lines e and f are intersected by line a At the intersection of lines a and e, the bottom right angle is 72 degrees At the intersection of lines a and f, the upper right angle is 108 degrees Given the information in the diagram, which theorem best justifies why lines e and f must be parallel? A Alternate interior angles theorem B Same side interior angles theorem C Converse of the