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