ABCD एक चक्रीय चतुर्भुज हे, जिसमे `angleA=4x^(@), angleB=7x^(@), angleC=5y^(@)` तथा `angleD=y^(@)` हे, तब `x:y` होगा।

Options

A. `3:4`
B. `4:3`
C. `5:4`
D. `4:5`

Answer

B

Explanation

According to question,

`angleC = 4x^(0)` and `angleB= 7x^(0)`
`angleC= 5y^(@)` and `angleD=y^(@)`
As we kmnow that in a cyclic quadrialteral sum of opposite angle is `180^(@)` (चक्रीय चतुर्भुज में विपरीत कोणों का योग `180^(@)` होता हे
`angleA+angleC = 180^(@)`
`4x^(@) + 5y^(@)=180^(@)`...............(i)
`7x^(@) +y^(@)=180^(@)`.............(ii)
From eqn (i) and (ii) `4x+5y=7x+y`
`4y = 3x`
`x/y=4/3`