The given figure is a parallelogram find the value of x and y

4 answers
Question:

The given figure is a parallelogram find the value of x and y

[tex]The given figure is a parallelogram find the value of x and y[/tex]


Answers

Step-by-step explanation:

In a parallelogram, diagonals bisect each other.

7y - 2 = 5y + 4

7y - 2 - 5y = 4

2y - 2 = 4

2y = 4 +2

2y = 6

y = 6/2

y = 3

3x +2 = 23

3x = 23 - 2

3x = 21

x = 21/3

x = 7

In a parallelogram, diagonals bisect each other.

7y - 2 = 5y + 4

7y - 2 - 5y = 4

2y - 2 = 4

2y = 4 +2

2y = 6

y = 6/2

y = 3

3x +2 = 23

3x = 23 - 2

3x = 21

x = 21/3

x = 7

Step-by-step explanation:

In a parallelogram, opposite sides are equal

2x + 4 = 8    {Subtract 4 form both sides}

2x + 4 - 4 = 8 - 4

2x = 4  {divide both sides by 2}

2x/2 = 4/2

x = 2

3y = 9   {Divide both sides by 3}

3y/3 = 9/3

y = 3

x = 2, y = 3.

Step-by-step explanation:

As it is a parallelogram opposite sides are equal so we have the equations:

3y = 9

y = 3.

2x + 4 = 8

2x = 4

x = 2.

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