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Since JKLM is a rhombus JM By the Reflexive Property of Congruence JNN so AJNM...

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Geometry

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Since JKLM is a rhombus JM By the Reflexive Property of Congruence JNN so AJNM AJNK by the So by CPCTC By the Linear Pair Theorem ZJNM and JNK are supplementary This means that m JNM m JNK Since the angles are congruent m JNM m JNK so by m JNK m JNK 180 or 2m JNK 180 Therefore m JNK Statement Reason Bank 1 Because JKLM is also a parallelogram MNKN because 8 and JK JMK 4 4JNM JNK 3 SSS Triangle Congruence Theorem 2 Diagonals of a 5 parallelogram bisect each other 6 180 Substitution 7 90

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