The measure of an angle is three times its complement. Find the angle.

The correct option is B ${67.5}^{\circ }$
Let the complement of the angle be $x^{\circ }$.

The measure of the angle is three times its complement.
Therefore,
Measure of the angle =$3x^{\circ }$

Since the sum of complementary angles is ${90}^{\circ }$,

$x+3x=90$

$4x=90$

$x=\frac{90}{4}$

$x={22.5}^{\circ }$

The angle = $3x$
$=3\times 22.5$

The angle =${67.5}^{\circ }$