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08-12-2022
Mathematics

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Given: The lines shown in the diagram are parallel. Prove: The sum of the interior angles of the triangle is . Diagram shows 2 parallel lines with a vertical segment between them. A segment extends from the intersection point on top line to below line to the right, forming a right triangle. At top, angles are 1, 2, 3. At below, angles are 4 and 5. Since the given lines are parallel, then by the alternate interior angle theorem, , , and . Congruent angles have equal measures. substitution definition of straight angle definition of linear pair transitive property Statement Reason arrowRight arrowRight arrowRight

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