Find a Solution for the Equation $$\tan \left( 3 \alpha + 12 ^ { \circ } \right) = \cot \left( \alpha + 36 ^ { \circ } \right)$$

Multiple Choice

Find a solution for the equation. Assume that all angles are acute angles.
- $$\tan \left( 3 \alpha + 12 ^ { \circ } \right) = \cot \left( \alpha + 36 ^ { \circ } \right)$$

A) $10.5 ^ { \circ }$
B) $16 ^ { \circ }$
C) $14.5 ^ { \circ }$
D) $12 ^ { \circ }$