Question

two supplementary angles differ by 20. find the angles

Answer 1

Supplementary angle = 180°

So let the angle be "x" and "20+x"

So,

x + 20 + x = 180°

2x = 180 - 20

x = 160/2 = 80°

So,

x = 80°

x + 20 = 80 + 20 = 100°

hope it helps

Answer 2

Let the two angles be x and y
By data,
x+y=180....i
x-y=20...ii
Solving i and ii simultaneously,
x+y=180
x-y=20
2x=200
x=100
Substituting x=100 in i, we get,
x+y=180
100+y=180
y=180-100=80
The 2 angles are 100°and 80°.