Question

Larger of two supplementary angles is double the smaller. Then find the angles

Answer 1

let the two supplementary angles be x and y

let x>y.

we know that sum of supplementary angles is 180'

therefore, x + y = 180'-------------(1)

according to question,

x=2y-------------------(2)

from =n(2), we get

x=2y

put x=2y in =n(1)

2y+y=180'

3y=180'

y=180'/3

y=60'

put y =60' in =n(1)

x+60'=180'

x=180'-60'

x=120'

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