Question

in the following parallelogram ABCD, find the values of x and y. support your answer with the property applied.

Answer 1

STypes of Quadrilaterals

Quadrilaterals can be classified into Parallelograms, Squares, Rectangles and Rhombuses. Square, Rectangle and Rhombus are also Parallelograms.

tep-by-step explanation:

Answer 2

We know that,

• Diagonal of a parallelogram bisect each other.

$\sf \therefore ~~ 5y+1=6y-1$

$\sf \implies ~~ 5y - 6y=-1 - 1$

$\sf \implies ~~ -y=-2$

$\sf \implies ~~ y=2$

And

$\sf \therefore ~~3x - 1=2(x + 1)$

$\sf \therefore ~~3x - 1=2x + 2$

$\sf \therefore ~~3x - 2x = 2 + 1$

$\sf \therefore ~~x = 3$

• Hence the value of x and y is 3 and 2.