Final answer:
The conjugate acid of (CH₃)₃N is (CH₃)₃NH⁺.
Step-by-step explanation:
The conjugate acid of the Brønsted-Lowry base (CH₃)₃N is (CH₃)₃NH⁺. In the Brønsted-Lowry theory, a conjugate acid is formed when a base accepts a proton (H⁺). Since (CH₃)₃N is the base, its conjugate acid will have an additional proton, resulting in (CH₃)₃NH⁺.