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The measures of two complementary angles are in the ratio 2:3. What is the measure of the smaller angle?
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put one angle at \(2x\) and the other \(3x\) so the ratio is \(2:3\) then since they are complimentary they must add up to 180 so \(2x+3x=180\) or \(5x=180\) divide by \(5\) to get \(x=36\) and so \(2x=72\) is the smaller one
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