Question

larger of two supplementary angles exceeds the smaller by 28 find the angles​

Answer 1

HERE'S YOUR ANSWER

X + Y = 180

Y=X+28

X+X+28=180

2x+28=180

2x=180-28

2x=152

x=76

from eqn

x+y=180

76+y=180

y=180-76= 104

therefore,

x=76 degree (smaller angle)

y=104 degree (larger angle)

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Answer 2

Let the larger angle be 'x'

And smaller angle be 'y'

x+y =180° ---------(1)

x - y = 28° ---------(2)

By using elimination method

Add the equations

So,

2x = 208

x = 208/2

[x =104°]

x + y = 180°

y = 180 - 104

[y = 76°]

$<marquee>$ larger angle is 104° and smaller angle is 76°. ✌✌✌