Question 242281
If the supplement to the base angle is 9x, then the each of the base angles is 180-9x.  


Therefore, the SUM of these THREE angles is 180.


3x-48+180-9x+180-9x=180
-15x+360-48=180
-15x+312=180
-15x=180-312
-15x--132

x=132/15=44/5= 8.8 degrees
3x=26.4

3x-48 = NEGATIVE ANGLE = the angle at the top


NOTE:  I have checked and re-checked this problem, and I don't see anything wrong.  I conclude that there is NO SOLUTION to the triangle.  That is, unless I have misinterpreted the picture.


Dr. Robert J. Rapalja