anonymous
  • anonymous
An angle has a measure of (5x+7)°, and another angle has a measure of (2x+54)°. Together, they form a linear pair. Find the measure of the smaller angle. (no image).
Mathematics
chestercat
  • chestercat
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triciaal
  • triciaal
linear pair means the sum of the angles = 180
triciaal
  • triciaal
|dw:1437977341370:dw|
anonymous
  • anonymous
I added the two equations together and puts " = 180" and I solved for x. I got 17, and I plugged 17 into (2x + 54). I then got 88 degrees. two of my options for multiple choice are 17 degrees and 88 degrees, but I do not know which one to put for my answer..

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triciaal
  • triciaal
|dw:1437977415660:dw|
triciaal
  • triciaal
read the question again
anonymous
  • anonymous
I'm thinking the correct answer is 88 degrees, because if the answer was 17 degrees, the directions would have said "solve for x", I think so at least..
triciaal
  • triciaal
|dw:1437977490480:dw|
triciaal
  • triciaal
don't think so much
triciaal
  • triciaal
so you have the equation and solve for x correct x = 17
triciaal
  • triciaal
now substitute and find the angles 88 and 92 (remember they add to 180?)
triciaal
  • triciaal
Here is your question "Find the measure of the smaller angle."
nincompoop
  • nincompoop
I would suggest to figure out what does the word linear pair mean :) then all will be easy as pie
anonymous
  • anonymous
so 88 is the correct answer? Because the directions said to find the measurement of the smaller angle
triciaal
  • triciaal
correct !!
anonymous
  • anonymous
Thank you @nincompoop :)
nincompoop
  • nincompoop
Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)
anonymous
  • anonymous
Thank you @triciaal :)
nincompoop
  • nincompoop
the rest is just an algebraic manipulation (5x+7) + (2x+54) = 180
nincompoop
  • nincompoop
solve for x :)
triciaal
  • triciaal
you are welcome

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