Quadrilateral WXYZ is a Parallelogram. Find the value of each variable.

a = 1, b = 1

a = 3, b = 1

a = 2, b = 2

a = 5, b = 2

a=3, b=1

A parallelogram have its opposite sides equal and parallel.

Step-by-step explanation:

SO, the quadrilateral WXYZ have its opposite sides equal as its a parallelogram.

From the given figure the side XY= WZ and XW= YZ, which gives two equations i.e

   Equation 1 is    3a-4=a+2       and     Equation 2 is     b+1=2b

Solving Equation 1                                     Solving equation 2

                    3a-a = 2+4                                    2b-b = 1                          

                    2a   =  6                                              b=1

                       a   =  3                    

So, by solving the two equations a=3 and b=1.