Question

2. in the figure below,PT=2x,TR=y+4,QT =X+2, and TS=y
find the values of x and y in parallelogram PQRS

a) x=2,y=4
b) x=0,y=2
c) x=6,y=8
d) x=4,y=6

Answer 1

well you need to know the diagonals of a parallelogram bisect each other.

So using this property

PT = TR and QT = TS

that means

2x = y + 4 Equation 1
x + 2 = y Equation 2

by substituting equation 2 into equation 1, you get

2x = x + 2 + 4

or

2x = x + 6

now you can solve for x.

When you get a value substitute it inot equation 2 to find y.

Hope it helps