Question

Find the value of x, y, z in the rhombus below

Answer 1

Answers:

• x = -28
• y = -12
• z = -11

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Step-by-step explanation:

Any rhombus is a parallelogram, but not the other way around.

For any parallelogram, the opposite angles are congruent.

-8y-8 = 88

-8y = 88+8

-8y = 96

y = 96/(-8)

y = -12

Also, for any parallelogram, the adjacent angles are supplementary (meaning they add to 180).

(-3x+8) + (88) = 180

-3x+96 = 180

-3x = 180-96

-3x = 84

x = 84/(-3)

x = -28

And we can also say,

88 + (-9z-7) = 180

-9z+81 = 180

-9z = 180-81

-9z = 99

z = 99/(-9)

z = -11