Let [tex]x^\circ[/tex] be the measure of the angle in question. Its complement has measure [tex](90-x)^\circ[/tex]. We're told that this angle is congruent to 1/3 of its complement, so that
[tex]x^\circ=\dfrac{(90-x)^\circ}3\implies3x^\circ=(90-x)^\circ\implies4x^\circ=90^\circ\implies x=22.5^\circ[/tex]
