Question

The larger of two supplementary
angles exceeds the smaller by 20
degrees, the angles are :​

Answer 1

Answer:

let, smaller angle = X

larger angle = (X +20)

Now,

X+(X+20)= 180°. ( As they are supplement of

each other)

→2x+20= 180°

→2x= 160°

→x=160/2 = 80°

Now, Value of angles,

Larger angle= X+20= 80+20= 100°

Smaller angle=X = 80°

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Answer 2

lets the two angles be X and Y

according to given condition

X+y= 180 ----- (1)

X=y+180----- (2)

substituteing the value of (2) in (1)

(1)-x+y=180

(y+8)+y =180

2y + 18 =180

y =81

substituteing the value of Y in (2)

X=y+18

X = 81+18

x=99

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