SOLUTION: <1 and <2 are a linear pair. If m<1= (4x+6) degrees and m<2= 126 degrees, then find x

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Question 1045431: <1 and <2 are a linear pair. If m<1= (4x+6) degrees and m<2= 126 degrees, then find x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a linear pair of angles must add up to 180 degrees
ff m < 1=+%284x%2B6%29 degrees and m < 2=+126 degrees, than we have
%284x%2B6%29%2B126=180
4x%2B132=180
4x=180-132
4x=48
x=48%2F4
highlight%28x=12%29
and m < 1=+%284x%2B6%29=4%2A12%2B6=48%2B6=54