Given ∠1≅∠7, which lines, if any, must be parallel based on the given information? Justify your conclusion.a∥b, Converse of the Corresponding Angles Theoremc∥d, Converse of the Alternate Exterior Angles Theorema∥b, Converse of the Same-Side Interior Angles Theoremnot enough information to make a conclusion
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Answer: c∥d, Converse of the Alternate Exterior Angles TheoremStep-by-step explanation:We know that the alternate exterior angles are angles that are on opposite sides of the transversal and are on outside the two lines.The alternate exterior angles theorem says that if the two lines are parallel, then the alternate exterior angles are congruent to each other.The converse of alternate exterior angles theorem says that if alternate exterior angles are congruent to each other then the two lines are parallel.From the given figure it is given that ∠1≅∠7, Hence, by converse of alternate exterior theorem c∥d.
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