The measure of an angle is five times its complement. The angle measures

(d) $75^{\circ}$

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

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

$\therefore x=5(90-x)$

$\Rightarrow x=450-5 x$

$\Rightarrow 6 x=450$

$\Rightarrow x=75$