anonymous
  • anonymous
The angles shown below are supplementary: A pair of supplementary angles is shown. One angle measures 10x and the other angle measures 60 degrees. What is the value of x? 6° 9° 12°
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@amistre64 last one i promise sorry (:
amistre64
  • amistre64
well we need a definition, what does it mean to be complementary angles?
amistre64
  • amistre64
ugh, supplementary angles that is

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amistre64
  • amistre64
might as well find the definition of both, knowing what complementary and supplementary angles are wont hurt :)
anonymous
  • anonymous
hold on
anonymous
  • anonymous
two angles are supplimentary when they add up to 180 degrees
amistre64
  • amistre64
thats a good definition, so all we need to do is add the angles and equate it to 180 10x + 60 = 180 .... what should x be?
anonymous
  • anonymous
arent we supposed to subtract something
amistre64
  • amistre64
sure, it looks like that +60 is getting in the way, lets subtract it ... from BOTH sides 10x + 60 = 180 - 60 -60 -------------- 10x + 0 = 120 so, now we can focus on: 10x = 120 what would you attempt now?
amistre64
  • amistre64
10, times what, is 120?
anonymous
  • anonymous
12
amistre64
  • amistre64
the 10x = 120, when x=12
amistre64
  • amistre64
and 10x + 60 = 180, when x=12
anonymous
  • anonymous
so 12 degrees is the answer (:
amistre64
  • amistre64
well, not 12 degrees, 10x degrees, x is just a number that makes that value of 10x degrees equal ,120 degrees
amistre64
  • amistre64
x=12 will suffice
anonymous
  • anonymous
so then what is the answer ?
amistre64
  • amistre64
hmm, i just noticed that they choose to put it as 12 degrees. old tired eyes .... sure, lets pick the one thats a 12, if you want to tack on a degree notation, its fine apparently :)
anonymous
  • anonymous
ok Thank you so much ! (:
amistre64
  • amistre64
yep

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