##/_1## and ##/_2## are supplementary angles. ##m/_1## is ##4y+7##, and ##m/_2## is ##9y+4##. What is ##m/_2##?
February 20th, 2023
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