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