math_crasher
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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dhatraditya
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What do complementary angles mean?

math_crasher
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they compliment each other

dhatraditya
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ah? so one angle says to the other " hey, nice angle" ?

math_crasher
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No they both equal to 90 degrees

dhatraditya
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and the other says, "Thanks, you look quite good yourself" ?
Is that what you mean by they compliment each other?

dhatraditya
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okay good.

dhatraditya
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that means they add up to 90 degrees, correct?

math_crasher
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yes

dhatraditya
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right. so let us say one angle is A and the other angle is B

dhatraditya
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A : B = 1 : 9, right?

math_crasher
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right

dhatraditya
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and A+B = 90. Are you with me?

math_crasher
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ya i get you so far

dhatraditya
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good. so you have two equations
A + B = 90
and
A/B = 1/9

dhatraditya
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A / B = 1 / 9
=> A = 9B

dhatraditya
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substitute A in the other equation and solve for B