RaizyM618578 RaizyM618578
  • 25-10-2022
  • Mathematics
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If each quadrilateral below is a square, find the missing measure

If each quadrilateral below is a square find the missing measure class=

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ArhanK79336 ArhanK79336
  • 25-10-2022

ANSWER

[tex]x=11[/tex]

EXPLANATION

The figure given is a square.

Each angle in a square is 90 degrees and the diagonals bisect each angle.

This means that :

[tex]\begin{gathered} 6x-21=45 \\ \text{Collect like terms:} \\ 6x=45+21 \\ 6x=66 \\ \text{Divide through by 6:} \\ x=\frac{66}{6} \\ x=11 \end{gathered}[/tex]

That is the value of x.

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