Question

the angles are supplementary and the smaller is one-half of the larger

Answer 1

Hey friend, ☺️ here is your answer _____________________________

Let the larger angle be x°
So, the smaller angle will be 1/2 of x° = x°/2

It is given that these two angles are supplementary. So
x° + x°/2 = 180°
[2x° + x°] /2 = 180
x° = 120

x°/2 = 120/2 = 60°

The angles are 120° and 60°

Hope this helps you..

Answer 2

Let the one angle be x
Other angle = 1/2 x
X+1/2x=180
3x/2=180
3x=180*2
3x=360
X=360/3=120
Therefore one angle is 120 and the other is 60.