Line EB is the mid segment of the triangle
EB and DC are parallel if angle EBA is equal to angle DCB
so
4x - 3 = 3x + 9 now solve for x
-3x -3x
x -3 = + 9
-3 -3
x = 12
Now I know x and 3x +9, so sub in for x
3(8) + 9 = 32 + 9 = 41
now we know angle EBA
and angle EBA and angle EBC are a linear pair meaning when I add them together they equal 180
so
angle EBA + angle EBC = 180
41 + 14y - 5 = 180 now solve for y
36 + 14y = 180
-36 -36
14y = 144
/14 /14
y = 10.28
