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What is the value of x in the rhombus below?

What is the value of x in the rhombus below?-example-1

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Answer:

D. 28

Explanation:

The total of angles in a triangle is 180°. Since this is a rhombus, the four triangles that make up the rhombus are all right triangles. Therefore, you already know one of the angles in the triangle.

90 + (x + 6) + 2x = 180

90 + x + 6 + 2x = 180

Then, combine all like terms and solve.

3x + 96 = 180

3x = 84

x = 28

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