Question

Find FG in parallelogram EFGH

Answer 1

Explanation:

In parallelograms, the opposite sides are congruent.

So,

2z - 28 = z

• Transfer z to the right side and 28 to the left side of the equation.

2z - z = 28

z = 28

Since HE and FG are opposite sides, we can find the measure of FG with the following expression:

4z - 46 = 4×28 - 46

FG = 66

Answer 2

FG = 66

Explanation:

the opposite sides of a parallelogram are congruent , then

FG = EH and HG = EF , so

2z - 28 = z ( subtract z from both sides )

z - 28 = 0 ( add 28 to both sides )

z = 28

Then

EH = 4z - 46 = 4(28) - 46 = 112 - 46 = 66

thus

FG = EH = 66