vertical angles equal each other and adjacent supplimentary angles =180
-3x-y+179=2x+y+134 -3x-y+179+6x-3y=180 simplify -3x-y+179+6x-3y=180 3x-4y+179=180 -179 both sides 3x-4y=1 +4y both sides 3x=4y+1 ÷3 both sides x=4/3y+1/3 plug in x into -3x-y+179=2x+y+134 -3 (4/3y+1/3)-y+179=2 (4/3y+1/3)+y+134 simplify -4y-1-y+179=8/3y+2/3+y+134 -5y+178=11/3y+404/3 -11/3y both sides -26/3y+178=404/3 -178 both sides -26/3y= -130/3 x-3/26 both sides
y= 5
solve for X
-3x-y+179=2x+y+134 -3x-(5)+179=2x+(5)+134 -3x-5+179=2x+5+134 -3x+174=2x+139 -2x both sides -5x+174=139 -174 both sides -5x= -35 ÷-5 both sides