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math_crasher

  • 3 years ago

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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  1. dhatraditya
    • 3 years ago
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    What do complementary angles mean?

  2. math_crasher
    • 3 years ago
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    they compliment each other

  3. dhatraditya
    • 3 years ago
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    ah? so one angle says to the other " hey, nice angle" ?

  4. math_crasher
    • 3 years ago
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    No they both equal to 90 degrees

  5. dhatraditya
    • 3 years ago
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    and the other says, "Thanks, you look quite good yourself" ? Is that what you mean by they compliment each other?

  6. dhatraditya
    • 3 years ago
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    okay good.

  7. dhatraditya
    • 3 years ago
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    that means they add up to 90 degrees, correct?

  8. math_crasher
    • 3 years ago
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    yes

  9. dhatraditya
    • 3 years ago
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    right. so let us say one angle is A and the other angle is B

  10. dhatraditya
    • 3 years ago
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    A : B = 1 : 9, right?

  11. math_crasher
    • 3 years ago
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    right

  12. dhatraditya
    • 3 years ago
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    and A+B = 90. Are you with me?

  13. math_crasher
    • 3 years ago
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    ya i get you so far

  14. dhatraditya
    • 3 years ago
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    good. so you have two equations A + B = 90 and A/B = 1/9

  15. dhatraditya
    • 3 years ago
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    A / B = 1 / 9 => A = 9B

  16. dhatraditya
    • 3 years ago
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    substitute A in the other equation and solve for B

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