Two angles are complementary. The measure of the larger angle is 5 times the measure of the smaller. What are the measures of the angles?

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Answer 1 · 2015-12-25T02:34:57

$15˚,75˚$

Call the first angle's measurement $mangle1$ .

The second angle is $5$ times this, or $5(mangle1)$ .

Since the two angles are complementary (have a sum of $90˚$ ), we can relate the two angles him as follows:

$mangle1+5(mangle1)=90$

$6(mangle1)=90$

$mangle1=15$

Since $mangle2$ is $5$ times this, $mangle2=15xx5=75$ .