anonymous
  • anonymous
Half the supplement of an angle is 18 degrees less than four times the complement of the angle. Set up and solve an equation to find the measure of the angle, the complement, and supplement.
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mertsj
  • Mertsj
Let x = the angle then 180-x= supplement and 90-x = complement.
anonymous
  • anonymous
so far the equation I have is 1/2(18)-x=4(90-x)+18 is that right?
anonymous
  • anonymous
@mertsj

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anonymous
  • anonymous
180 and 18
Mertsj
  • Mertsj
\[\frac{1}{2}(180-x)=4(90-x)-18\]
anonymous
  • anonymous
x=84 ?
anonymous
  • anonymous
@mertsj
Yttrium
  • Yttrium
x=72
anonymous
  • anonymous
how did you get that?
Yttrium
  • Yttrium
Just tell us how you've got 84
anonymous
  • anonymous
1/2(180)-x=4(90-x)-18 -->> 90-x=360-4x-18 +4x +4x 90+3x=342 -90 -90 3x=252 x=84
anonymous
  • anonymous
where do i go wrong
Yttrium
  • Yttrium
You forgot to divide the x to 2 in the left side of the eq'n. It should be 90- (x/2) = 4(90-x)- 18 But I have a simpler solution, maybe you can solve that easier.
anonymous
  • anonymous
i dont understand exactly so it would be 90-(x/2)=342-4x
anonymous
  • anonymous
wait ok i get it now
anonymous
  • anonymous
so complement is 18 supplement is 108
Yttrium
  • Yttrium
it says here that the half of the supplement, which is 1/2 (180-x) is equal to 18 deg less than four times of its complement which in symbols will be equal to 4(90-x)-18 You get it?
anonymous
  • anonymous
54
Yttrium
  • Yttrium
How you come up to 54? Do you want me to show my solution?
anonymous
  • anonymous
yes cause i cant get it
Yttrium
  • Yttrium
\[(1/2) (180-x) = 4(90-x) - 18\] \[(1/2) (180-x) = 360 - 4x - 18\] \[(1/2) (180 - x) = 342 - 4x\] \[180-x = 684 - 8x\] Therefore, \[ 7x = 504\] x = 72
anonymous
  • anonymous
yes i got that part which is the angle, but i also need to find the supplement and complement but for that do i just replace x with 72 thats how i got 54
Yttrium
  • Yttrium
Well, it's still not 54. The complement is just 90-x and the supplement is just 180-x
anonymous
  • anonymous
18 & 108
Yttrium
  • Yttrium
Nice. You got it right now! :D
anonymous
  • anonymous
thanks, im bad at math so it takes awhile. but thank you for all your help

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