Question

Find the value of each variable in the following parallelogram

Answer 1

a = 2

b = 7

Explanation:

The given rectangle is a parallelogram.

1. WZ = XY

10b + 1 = 9b + 8

• Transfer like terms to the same side of the equation

10b - 9b = 8 - 1

• Add/Subtract like terms

b = 7

2. WX = ZY

6a + 4 = a + 14

• Transfer like terms to the same side of the equation

6a - a = 14 - 4

• Add/Subtract like terms

5a = 10

• Divide both sides by 5

a = 2