Question

Figure ABCD is a parallelogram. What is the value of n? a.3 b.5 c.17 d.25

Answer 1

The answer is 17 because when you plug it into both equations, the answer is 66. You know the answer needs to be the same because it is a parallelogram. Opposite angles of parallelograms are always equal.

Answer 2

Opposite angles of a parallelogram are equal so <B=<D.

<B=2n+32,<D= 4n-2.Substituting the values of <B&<D we have:

<D=<B

4n-2=2n+32

Isolating n term we have :

4n-2n-2=2n-2n+32(subtracting 2n both sides)

2n-2=32

Adding 2 both sides

2n=34

Dividing by 2 both sides:]

n=17.

Option c.17 is the right answer.

Answer 3

Opposite angles of a parallelogram are equal so <B=<D.

<B=2n+32,<D= 4n-2.Substituting the values of <B&<D we have:

<D=<B

4n-2=2n+32

Isolating n term we have :

4n-2n-2=2n-2n+32(subtracting 2n both sides)

2n-2=32

Adding 2 both sides

2n=34

Dividing by 2 both sides:]

n=17.

Option c.17 is the right answer.