Answered

Figure ABCD is a parallelogram.

What is the value of n?


a.3

b.5

c.17

d.25

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

Verified Answer :

IlonaLily24

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.

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.

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.

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