Since BD bisects ABC, CBD is half of ABC. Therefore, 2x+10=(5x-4)/2. We solve for x.
Multiplying by 2, we have:
4x+20=5x-4
Adding 4 and subtracting 4x, we see that:
x=24
Now, we substitute this in for x to find the value of ABC. We have:
5*(24)-4
120-4
116
Therefore, 116 is the value of angle ABC. Since 116 is greater than 90, ABC is an obtuse angle.
