Mathematics
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OpenStudy (anonymous):
The measure of the supplement of an angle is 12 more than twice the
measure of the angle. Find the measures of the angle and its supplement.
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OpenStudy (anonymous):
@bobwhiz why did you delete your answer?
jimthompson5910 (jim_thompson5910):
let x = the angle
so 180 - x is the supplement
jimthompson5910 (jim_thompson5910):
because "The measure of the supplement of an angle is 12 more than twice the measure of the angle", we know that
180 - x = 2x + 12
jimthompson5910 (jim_thompson5910):
solve that for x and tell me what you get
OpenStudy (anonymous):
I do not now how to solve for X
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jimthompson5910 (jim_thompson5910):
180 - x = 2x + 12
180 - 12 = 2x + x
168 = 3x
x = ??
OpenStudy (anonymous):
x = 56?
jimthompson5910 (jim_thompson5910):
so if x = 56, then what is 180 - x
OpenStudy (anonymous):
124?
jimthompson5910 (jim_thompson5910):
good, the original angle is 56 degrees
the supplement is 124 degrees
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OpenStudy (anonymous):
when you did "180 - x = 2x + 12
180 - 12 = 2x + x" how did you know how to do that?
OpenStudy (anonymous):
like how to you simplify
jimthompson5910 (jim_thompson5910):
180 - x is the supplement
jimthompson5910 (jim_thompson5910):
oh i see
jimthompson5910 (jim_thompson5910):
I added x to both sides
and I also subtracted 12 from both sides
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OpenStudy (anonymous):
oh ok thank you
jimthompson5910 (jim_thompson5910):
yw
OpenStudy (anonymous):
wait is the supplement 180-x or 124 degrees?
jimthompson5910 (jim_thompson5910):
180-x is the supplement of x
124 is the supplement of 56
jimthompson5910 (jim_thompson5910):
the final answer they want is 124 for the supplement
but you use 180 - x to get there
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OpenStudy (anonymous):
ohh thank you
jimthompson5910 (jim_thompson5910):
you're welcome