19chaconshelby 19chaconshelby

10-03-2017
Mathematics

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The measure of two complementary angles are in the ratio 1 : 4. What are the degree measures of the two angles?

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sdmatera sdmatera

10-03-2017

Since the angles are complementary, they add to 90°. So we can write the equation:
x represents the first angle, and 4x represents the second
x+4x=90
5x=90
x=18

So the first angle is 18° and the second is 72° (18*4)

Hope this helps

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