Question 885754
Let 4x= measure of smaller angle
    5x= measure of larger angle

Then
5x=2(4x)-60°
5x=8x-60°
8x-5x=60°
3x=60°
x=20°
smaller angle = 4x = 4(20°) = 80°
larger angle= 5x = 5(20°) = 100°

100°+80°=180°
Therefore the angles are supplementary