Let x be the measure of the angle and y be the measure of its complement.
Given that the complement angle is 15 degrees less than x, that is, y = x - 15.
Use the relation that sum of an angle and its complement equals 90 degrees. So,
[tex]x+y=90[/tex]Substitute x-15 for y into the equation.
[tex]\begin{gathered} x+x-15^{\circ}=90^{\circ} \\ 2x-15^{\circ}=90^{\circ} \\ 2x=105^{\circ} \\ x=\frac{105^{\circ}}{2} \\ =52.5^{\circ} \end{gathered}[/tex]The measure of the angle is 52.5 degrees and of its complement is 37.5 degrees.
