The measure of two complementary angles is in the ratio 1 : 9. What are the degree measures of the two angles?

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The measure of two complementary angles is in the ratio 1 : 9. What are the degree measures of the two angles?

Mathematics
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What do complementary angles mean?
they compliment each other
ah? so one angle says to the other " hey, nice angle" ?

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No they both equal to 90 degrees
and the other says, "Thanks, you look quite good yourself" ? Is that what you mean by they compliment each other?
okay good.
that means they add up to 90 degrees, correct?
yes
right. so let us say one angle is A and the other angle is B
A : B = 1 : 9, right?
right
and A+B = 90. Are you with me?
ya i get you so far
good. so you have two equations A + B = 90 and A/B = 1/9
A / B = 1 / 9 => A = 9B
substitute A in the other equation and solve for B

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