Complementary angles add up to 90degrees.
Let's make the larger angle x degrees, so the smaller angle would be x - 18 degrees.
Thus, we have;
[tex]\begin{gathered} x+x-18=90 \\ 2x-18=90 \\ 2x=108 \\ x=\frac{108}{2}=54^o \\ \text{and } \\ x-18=36^o \end{gathered}[/tex]Therefore, the two angles are 54 and 36 degrees.
