# The measures of two complementary angles are in the ratio 1:5. What is the measure of each angle?

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Dec 26, 2015

Let say that the two angles are $a$ and $b$ .Because they are complementary we have that

$a + b = {90}^{o}$

and from the ratio we get $\frac{a}{b} = \frac{1}{5} \implies b = 5 a$

Solving the system of the two equations above we get

$a = {15}^{o}$ and $b = {75}^{o}$

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