Answer: Hello There.
To solve this problem, we can use the fact that the sum of the interior angles of a triangle is 180 degrees.
First, we know that the perimeter of WXY is 68, so we can set up the following equation:
WX + XY + WY = 68
Then we can substitute in the given values for WX, XY, and WY:
(9x-7) + (12x-1) + (3x+4) = 68
We can then solve for x by adding like terms and setting the equation equal to 0:
24x = 77
x = 3.29
Now that we have the value of x, we can substitute it back into the equations for WX, XY, and WY to find the lengths of each side:
WX = 9x-7 = 9(3.29)-7 = 27.61
XY = 12x-1 = 12(3.29)-1 = 38.48
WY = 3x+4 = 3(3.29)+4 = 13.87
Now we can use the Law of Cosines to find the angles of WXY
cos(A) = (WX^2 + WY^2 - XY^2)/(2WXWY)
cos(B) = (XY^2 + WX^2 - WY^2)/(2XYWX)
cos(C) = (WY^2 + XY^2 - WX^2)/(2WY*XY)
Once we have the cosine of the angles, we can use the inverse cosine function to find the measure of the angles in degrees. Then we can sort the angles from least to greatest.
Please note that this is only one way to solve this problem, and there might be other ways to approach it.
Explanation: