supplementary angles will add up to 180 degrees
ratio of 2:3.....added = 5
2/5(180) = 360/5 = 72 <== one angle
3/5(180) = 540/5 = 108 <== the other angle
=====================
complimentary angles add up to 90
x + y = 90
x = y + 30
y + 30 + y = 90
2y + 30 = 90
2y = 90 - 30
2y = 60
y = 60/2
y = 30
x = y + 30
x = 30 + 30
x = 60
so ur 2 angles are 30 and 60 <==