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Find the value of x and y in the parallelogram below.

Find The Value Of X And Y In The Parallelogram Below class=

Sagot :

Solution:

It should be noted:

  • A rhombus's opposite sides are always equal.

Thus:

  • 3y + 1 = 94
  • -x + 2 = 72

Simplify both equations to find x and y.

Finding x:

  • -x + 2 = 72
  • => -x = 72 - 2
  • => -x = 70
  • => x = -70

Finding y:

  • 3y + 1 = 94
  • => 3y = 94 - 1
  • => 3y = 93
  • => y = 31

Opposite sides are equal

[tex]\\ \rm\hookrightarrow -x+2=72[/tex]

[tex]\\ \rm\hookrightarrow -x=-70[/tex]

[tex]\\ \rm\hookrightarrow x=70[/tex]

And

[tex]\\ \rm\hookrightarrow 3y+1=94[/tex]

[tex]\\ \rm\hookrightarrow 3y=93[/tex]

[tex]\\ \rm\hookrightarrow y=31[/tex]

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