SOLUTION: Find x and y in the figure. <a href="http://tinypic.com?ref=v2wcbk" target="_blank"><img src="http://i56.tinypic.com/v2wcbk.gif" border="0" alt="Image and video hosting by TinyP

Algebra ->  Parallelograms -> SOLUTION: Find x and y in the figure. <a href="http://tinypic.com?ref=v2wcbk" target="_blank"><img src="http://i56.tinypic.com/v2wcbk.gif" border="0" alt="Image and video hosting by TinyP      Log On


   



Question 392029: Find x and y in the figure.
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Found 2 solutions by edjones, SavannahStar:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
3x=2x+19
x=19
y=180-3x
=180-57
=123
.
Ed

Answer by SavannahStar(3) About Me  (Show Source):
You can put this solution on YOUR website!
x=19, and y=123. Here is why:
To find x, just set up the equation (2x+19)=(3x), and solve like you normally would.
After solving the equation, you should get 19. Check your answer by substituting 19 into x. 2(19)+19=57, and 3(19)=57. 57=57, and the two opposite sides of a paralellogram are equal.
To find y, it is a little more tricky. All four vertices of a paralellogram equal 360 degrees. 57+57, or the first two vertices that we discussed earlier, equal a total of 114 degrees. 360-114= 246 degrees, but divide in half to find the last two individual measurements. 246/2 is 123 degrees.
I hope this helps!! :)