Answer:
One triangle
Step-by-step explanation:
The angles being fixed at 30° and 60° cause the legs to be fixed.
For the 30° angle, one side is the given side of 12, the other side is at a fixed position.
The same goes for the 60° angle.
So both missing legs of the triangle are at fixed angles. The missing angle is 90° (if one is 30° and the other is 60°, then the last angle must add up to 180°, so it is 90°)
Since the last angle is also fixed, it means that there is only one way for the legs to intersect to cause a 90° angle, so there is only one triangle that can be formed