Question

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

Answer 1

Answer: a=3, b=1

A parallelogram have its opposite sides equal and parallel.

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.