SOLUTION: Hi, I am trying to figure out the value of x for a quadrilateral that the sum of the angle measures 360 degrees. My equation given at the top was (5x + 5) and the second part of t

Algebra ->  Polygons -> SOLUTION: Hi, I am trying to figure out the value of x for a quadrilateral that the sum of the angle measures 360 degrees. My equation given at the top was (5x + 5) and the second part of t      Log On


   

Question 880477: Hi, I am trying to figure out the value of x for a quadrilateral that the sum of the angle measures 360 degrees. My equation given at the top was (5x + 5) and the second part of the equation given is 2x. How would I find x? I believe you have to distribute the 2x to the (5x + 5), correct me if I am wrong. Then you would have (10x + (5)2x)?
Found 2 solutions by ewatrrr, KMST:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
IF (5x+5) and 2x represent the opposite equal angles:
(5x+5) + 2x + (5x+5) + 2x = 360°
14x = 350
x = 25°
So opposite equal angles would be: 130° & 50°
Not clear to me what (5x+5) and 2x is exactly

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
In all convex quadrilaterals, like these,
drawing%28300%2C200%2C-3%2C33%2C-2%2C22%2Crectangle%280%2C0%2C30%2C20%29%29
the measures of the interior angles add up to 360%5Eo .
If you know the measures of 3 of the angles, you can find the measure of the fourth angle.

You may know that your quadrilateral is a parallelogram because you were told,
or because it is drawn on grid/graph paper,
or because the figure indicates that opposite sides are parallel with little arrows like this:
.
In that case, opposite angles in the parallelogram have equal measures,
and the measures of adjacent angles add up to 180%5Eo .
So for the equation you would use is %285x%2B5%29%2B2x=180 ,
but you would use 5x%2B5=2x for