anonymous
  • anonymous
The measure of two complementary angles is in the ratio 1 : 9. What are the degree measures of the two angles?
Mathematics
jamiebookeater
  • jamiebookeater
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jamiebookeater
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anonymous
  • anonymous
What do complementary angles mean?
anonymous
  • anonymous
they compliment each other
anonymous
  • anonymous
ah? so one angle says to the other " hey, nice angle" ?

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

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