Step 1: Understanding the Concept
Amines are primary, secondary or tertiary according to how many alkyl or aryl groups are bonded to nitrogen.
Step 2: Apply to tert-butylamine
In \((\text{CH}_{3})_{3}\text{C-NH}_{2}\) the nitrogen carries one alkyl group and two hydrogen atoms.
The word 'tert' describes the carbon that is attached to three other carbons, not the nitrogen.
Step 3: Conclusion
Nitrogen has one carbon group, so it is a primary (1 degree) amine.
Final Answer:
tert-Butylamine is a primary amine, option (B).
\[ \boxed{\text{(B) }1^{\circ}\text{ amine}} \]