SOLUTION: Hello, I have this problem where in a parallelogram, one obtuse angle = 225-2x. The x variable represents an acute angle. As you know all the angles of a quadrilateral added up equ

Algebra ->  Parallelograms -> SOLUTION: Hello, I have this problem where in a parallelogram, one obtuse angle = 225-2x. The x variable represents an acute angle. As you know all the angles of a quadrilateral added up equ      Log On


   

Question 745773: Hello, I have this problem where in a parallelogram, one obtuse angle = 225-2x. The x variable represents an acute angle. As you know all the angles of a quadrilateral added up equals 360 degrees. And the angles opposite eachother are equal. I have tried inputting some angles for x such as 45, 35, and 25 but none have worked. Please get back to me ASAP!! I need to know how to figure it out for a test tomorrow! ~Dani
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
As you said, two of the angles will measure 225-2x degrees.
If each of the other two angles measures x degrees,
as we know that the measures of all four angles add up to 360%5Eo,
2%28225-2x%29%2B2x=360 --> 450-4x%2B2x=360 --> 450-2x=360 --> -2x=360-450 --> -2x=-90 --> x=%28-90%29%2F%28-2%29 --> highlight%28x=45%29