JaafarX470160 JaafarX470160
  • 03-11-2022
  • Mathematics
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ABCD is a rhombus. Find xA) x = 3B) x = 10 D) x = 5C) x = 2

ABCD is a rhombus Find xA x 3B x 10 D x 5C x 2 class=

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HughN755315 HughN755315
  • 03-11-2022

ANSWER

5

EXPLANATION

The given shape is a rhombus

The sum of interior angles of a rhombus add up to 360 degrees

The opposite angles of a rhombus are equal to each other.

hence, adding up all the interior angles, we have;

[tex]\begin{gathered} 9x+9x+135+135=360 \\ 18x+270=360 \end{gathered}[/tex]

collecting like terms, we have;

[tex]\begin{gathered} 18x=360-270 \\ 18x=90 \\ x=\frac{90}{18} \\ x=5 \end{gathered}[/tex]

Therefore the value of x is 5

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