3 years ago

Find the value of x and y in the following figure where ABCD is a parallelogram

Mathematics

1 answer:

asambeis [7]3 years ago

5 0

Answer:

x = 3

y = 2

Step-by-step explanation:

Diagonals of a parallelogram bisect each other into two equal segments. Therefore:

3x - 1 = 2(x + 1)

Solve for x

3x - 1 = 2x + 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Also:

5y + 1 = 6y - 1

Collect like terms

5y - 6y = -1 - 1

-y = -2

Divide both sides by -1

y = -2/-1

y = 2

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Find the value of x and y in the following figure where ABCD is a parallelogram​

Find the value of x and y in the following figure where ABCD is a parallelogram