I have a quadilateral with the following values x-25, x+25, x-30 and the 4th angle is a 90degree and I'm supposed to find what x equals. any ideas how to figure x?

2 answers

the sum of the angles in a quadrilateral is 360 is it not?
angle 1 + angle 2 + angle 3 + angle 4 = 360
90 + (x-25) + (x+25) + (x-30) = 360
90 + x - 25 + x +25 + x - 30 = 360
60 + 3x = 360
3x = 300
x = 100

The concept of this problem is to recognize that ANY QUADRILATERAL (square, trapazoid, rhombus, rectangle...etc) have a total angle of 360 degrees, so you add them all up and set the equation equal to 360.
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