anonymous
  • anonymous
The sum of the measures of two complementary angles exceeds the difference of their measure by 86º. Find the measure of each angle. (For any of you who don't know, complementary means 2 angles that sum together to equal 90º)
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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dan815
  • dan815
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dan815
  • dan815
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anonymous
  • anonymous
I don't understand the second picture at all actually. Sorry! First off, how did you get the 4 in x-y = 4. And then from there how did you get y = 43 and x=47?

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More answers

anonymous
  • anonymous
And how can that be the answer when they only exceed their difference by 4, not 86?? (sorry, just trying to understand)
terenzreignz
  • terenzreignz
Okay... how about we try a clean slate... and do the problem again... slowly, and step by step... Sound good?
anonymous
  • anonymous
Yea, and my practice assessment said that it was right, I just want to know how. Thank-you!
terenzreignz
  • terenzreignz
Okay... let's have x and y be the two angles. So, clearly, their *sum* is x+y and their *difference* is x-y (actually, |x-y|, but let's assume x is the bigger angle, too)
terenzreignz
  • terenzreignz
So far so good?
AravindG
  • AravindG
I would go like this : The sum of the measures of two complementary angles exceeds the difference of their measure by 86º. Find the measure of each angle. Rewriting using the fact sum is 90 for complimentary angles: 90 exceeds the difference of their measure by 86º. Find the measure of each angle. Writing in algebraic way: 90=(A-B)+86 Subtracting 86 on both sides: 4=A-B That is how he got 4
AravindG
  • AravindG
Any doubt?
anonymous
  • anonymous
So far so good.
phi
  • phi
The hardest part is interpreting the English sum of the measures of two complementary angles exceeds the difference of their measure by 86º sum of measures of two complementary angles = a+b (which we know is 90) exceeds the difference means exceeds (a-b) by 86 which means (a+b) - (a-b) = 86 (the sum minus the difference is 86) once you get that far, you can replace a+b with 90, 90 -(a-b)= 86 a-b= 4 now you have two equations a+b= 90 a -b= 4 in this case, add the two equations (the b-b will cancel) 2a= 94 a= 94/2 = 47 a+b= 90 47 + b = 90 (replace a with its value) -47+47 + b = 90 -47 b = 53
phi
  • phi
in case this step is not clear: 90 -(a-b)= 86 add +(a-b) to both sides (I like positive terms) 90 - (a-b) + (a-b) = 86 + (a-b) -(a-b) + (a-b) = 0 so 90 = 86 +(a-b) add -86 to both sides 90 - 86 = 86-86 + (a-b) 4 = (a-b) or a-b = 4
anonymous
  • anonymous
Okay, I think I got it now. Thank-you everyone for explaining!

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