Question

The measure of one vertex angle of a parallelogram is 18 degrees more than twice the measure of the next vertex angle. Find the measures of the angles of the parallelogram.

Answer 1

What is the sum of interior angles of a parallelogram?

Answer 2

2*180 = 360

Answer 3

Okay your problem states that one of the vertex angle has 18 degrees more than twice the next one.
Let the first vertex angle be x and the second one y
x = 2y+18
That would be your equation.

Now we know that the sum of interior angles is 360
Then x+x+y+y = 360
or 2x + 2y =360

And now you have two equations, solve :)

Answer 4

if one vertex angle is x, then the remaining angles must be x+18,x,x+18.
sum of adjacent angles of a parallelogram is 180. so 2x+18=180
=> x=81
so the angles of parallelogram are 81, 99,81,99

Answer 5

@vamgabu, 81 and 99 don't meet requirements.

Answer 6

if one vertex angle is x, then the remaining angles must be 2x+18,x,2x+18.
sum of adjacent angles of a parallelogram is 180. so 3x+18=180
=> x=54
so the angles of parallelogram are 54,126,54,126
my mistake previously
i'm sorry:)

Answer 7

So first I solve x=2y+180
then 2x+2y=360

Answer 8

2y + 18 = x * not 180 :P

in fact, use the substituion method
You'll get 2(2y+18)+2y =360

Answer 9

oh yes sorry.

Answer 10

I get 4y+36+2y=360
5y+36=360

Answer 11

That's good :)

Answer 12

I get 4y+36+2y=360
5y+36=360
324/5y
5y=64.8
is it 5y or 2y

Answer 13

5y + 36 = 360
5y = 324
y = 64.8

Little mistake there.

Answer 14

y=64.8 yes thats what I meant

Answer 15

thanks