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?
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.
To find the value of x in the given quadrilateral, we need to use the property that the angles of a quadrilateral add up to 360 degrees. Since we know that one angle is a right angle (90 degrees), we can set up the equation:
(x-25) + (x+25) + (x-30) + 90 = 360
Let's solve this equation step by step:
1. Combine like terms:
3x - 30 + 90 = 360
2. Simplify further:
3x + 60 = 360
3. Subtract 60 from both sides to isolate the variable:
3x = 360 - 60
3x = 300
4. Divide both sides by 3 to solve for x:
x = 300 / 3
x = 100
Therefore, x equals 100.