Question

the angles are supplementary and the larger is 20°less than three times the smaller

Answer 1

Okay here is your answer

Let's take the larger angle as x
and the smaller angle as y

so According to the Given Condition

x + y = 180

And

x = 3y - 20
x - 3y = - 20

let's subtract these equations

x +y = 180
x - 3y = - 20
4y = 200
y = 200/4

y = 50
Hence the smaller angle is 50 so let's find the Bigger angle

x + y = 180
x = 180 - 50
x = 130

Hence the final answer , the larger angle is 130° and the smaller angle is 50°

Hope it helps

Answer 2

let the larger angle be x and the smaller be y
now, x+y=180 -eq 1
by the given condition ,
x=3y-20
ie. x-3y=-20 -eq 2

subtracting eq from eq
we get,
4y=200
y=200/4 =50 eq 3
using eq 3 in eq 1
we get x=130


therefore,the larger angle is 130 and the smaller one is 50.