ConradoJ83221 ConradoJ83221
  • 03-11-2022
  • Mathematics
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In order for th parallelogram tobe a square, x = = [? ]°4x+17°

In order for th parallelogram tobe a square x 4x17 class=

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NatashaW445661 NatashaW445661
  • 03-11-2022

We know that the diagonals of a square bisects it's angles and every angles of square are 90°.

The diagnol bisects the parallelogram in two equal parts.

The angle obtained are,

[tex]4x+17^{\circ}[/tex]

The sum of the angles are 90 deg.

[tex]4x+17+4x+17=90^{\circ}[/tex][tex]8x+34=90^{\circ}[/tex][tex]8x=56^{\circ}[/tex][tex]x=7^{\circ}[/tex]

Thus the value of x is 7 deg.

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