SOLUTION: The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x. Write an equation that would allow you to solve for the value of x. Solve for the value of

Algebra ->  Polygons -> SOLUTION: The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x. Write an equation that would allow you to solve for the value of x. Solve for the value of      Log On


   

Question 865744: The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x.
Write an equation that would allow you to solve for the value of x.
Solve for the value of x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
For any quadrilateral, the 4 angles always add up to 360 degrees. So,


x + 2x + 3x + 3x = 360


9x = 360


x = 360/9


x = 40


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Angle 1: x = 40 degrees


Angle 2: 2x = 2*40 = 80 degrees


Angle 3: 3x = 3*40 = 120 degrees


Angle 4: 3x = 3*40 = 120 degrees