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11-02-2022
Mathematics

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The figure shows a rhombus ABCD where the diagonals AC and BD intersect at E. Find the value of x.

The figure shows a rhombus ABCD where the diagonals AC and BD intersect at E Find the value of x class=

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11-02-2022

Answer: 2

Step-by-step explanation:

Using the Z rule, we get the angle of DCE is 2x + 53

The angle DEC is a right angle as the diagonals of a rhombus always make a right angle

So we get the equation

3x + 7 + 2x + 53 + 90 = 180

5x = 10

x = 2

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