## Elementary Geometry for College Students (7th Edition)

The smaller angle is $15^{\circ}$ and the larger angle is $75^{\circ}$.
The ratio given is 1:5, and it is stated that the angles are complementary, therefore $1x+5x=90$ Simplify... $6x=90$ Divide both sides by six... $x=15$ If $x=15$, then the smaller angle ix $1x=1(15)$ or $15^{\circ}$ and the larger angle is $5x=5(15)$ or $75^{\circ}$.