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Given that ABCD is a rhombus what is the value of X

Given that ABCD is a rhombus what is the value of X-example-1

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Answer:

In a rhombus, the diagonals are perpendicular bisectors. Since a rhombus is a parallelogram, alternate interior angles are congruent. From these, we have:

5x - 18 + x = 90

6x - 18 = 90

6x = 108

x = 18

The correct answer is D.

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