Two complementary angles are such that twice the measure of one is equal to three times the measure of the other.

(b) 54°

Let the measure of the required angle be $x^{\circ}$

Then, the measure of its complement will be $(90-x)^{\circ}$.

$\therefore 2 x=3(90-x)$

$\Rightarrow 2 x=270-3 x$

$\Rightarrow 5 x=270$

$\Rightarrow x=54$