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To find the value of x in the given quadrilateral, we can start by setting up an equation based on the fact that the sum of the angles in a quadrilateral is always 360 degrees.
Therefore, we have:
(x-20) + (x+10) + 3x + (2x-15) = 360
Simplify the equation:
x - 20 + x + 10 + 3x + 2x - 15 = 360
7x - 25 = 360
7x = 385
x = 55
Therefore, the value of x is 55.