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

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) (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) (Show Source): You can put this solution on YOUR website!
In all convex quadrilaterals, like these,

the measures of the interior angles add up to .
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 .
So for the equation you would use is ,
but you would use for
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