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QUESTION

##/_1## and ##/_2## are supplementary angles. ##m/_1## is ##4y+7##, and ##m/_2## is ##9y+4##. What is ##m/_2##?

First, we should define supplementary angles.

Supplementary angles are angles that add up to 180 degrees.

Since 1 and 2 are supplementary and we know their values, we just set them equal to 180 degrees

##(4y + 7) + (9y + 4) = 180##

Now just solve for one variable

##13y + 11 = 180##

##13y = 169##

##y = 13##

Now the question asks for m<2, which is ##9y + 4##

So we just plug in ##9*13 + 4 = 121##

So m<2 is 121

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