Two angles are complementary. One angle is 5 times the measure of the other. What is the measure of the larger angle?

Complementary angles sum to $90^\circ$. Let the smaller angle be $x$, so the larger is $5x$. Then $x+5x=90$, so $6x=90$ and $x=15$. The larger angle is $5(15)=75^\circ$, choice J. Check: $15+75=90$ and $75=5\cdot15$. Choice F ($15^\circ$) is the smaller angle. Choice G ($18^\circ$) is $90\div5$, which divides instead of using the equation. Choice H ($72^\circ$) comes from taking $\frac{4}{5}$ of $90^\circ$, but the larger angle is $\frac{5}{6}$ of the total. The question asks for the larger angle, so do not stop at $x$.