Answer:
We have the three angles of a triangle as an equation, so we can add them together, and they equal 180.
So:
4x+10+12x-6+3x+5= 19x+9=180
19x=171 ... so: x= 171/19 = 9.
So ABC = 102 .. Obtuse angle
BAC = 46 .. Acute angle
BCA = 32 .. Acute Angle
Edit:
Angle 1 = 180 - BAC = 180 - 46 = 134
Angle 2= 180 - ABC = 180 - 102 = 78