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?
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@amistre64 last one i promise sorry (:
well we need a definition, what does it mean to be complementary angles?
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might as well find the definition of both, knowing what complementary and supplementary angles are wont hurt :)
two angles are supplimentary when they add up to 180 degrees
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?
arent we supposed to subtract something
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?
10, times what, is 120?
the 10x = 120, when x=12
10x + 60 = 180, when x=12
so 12 degrees is the answer (:
well, not 12 degrees, 10x degrees, x is just a number that makes that value of 10x degrees equal ,120 degrees
x=12 will suffice
so then what is the answer ?
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 :)