Question

e) The angles are supplementary and the larger is 20° less than three times the smaller. ​

Answer 1

If the angles are supplementary then sum of the angles will be 180°.
Let the smaller angle be ‘x’.
Let the larger angle be 3x-20°.
x+3x-20°=180°[angle sum property]
4x-20°=180°
4x=180°+20°
4x=200°
x=200/4
x=50°
3x-20°=3*50°-20°=150°-20°=130°
The smaller angle is 50°.
The larger angle is 130°.

Answer 2

Answer:

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