Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Test - Page 264: 3

Answer

The smaller angle is $15^{\circ}$ and the larger angle is $75^{\circ}$.

Work Step by Step

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 $75^{\circ}$.
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