simplify 2:4
you get 1:2
this means the larger is two times the smaller.
well, we have to use a system of equations.
we know two supplementary angles add up to be 180°.we can create our first equaition, using
smaller angle + larger angle = 180
s + l = 180
we can create our second equation using
two times the smaller = larger
2s = l
our two equations are:
2s = l
s + l = 180
now that we have the two equations, we can solve using subsitution to isolate the variable.
s + l = 180
s + (2s) = 180
simpify.
3s = 180
s = 60
the smaller angle has a value of 60.
now, remember that the larger angle is two times the smaller.
60 x 2 = 120
smaller angle: 60
larger angle: 120
we know this is correct because we know the smaller is 1/2 or 1:2 or 2:4 times the bigger, and the two angles add up to be 180 (60 + 120)
hope this helps and have a great day!