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If the bisectors of two adjacent angles `A\ a n d\ B` of a quadrilateral `A B C D` intersect at a point `O` such that `/_C+/_D=k/_A O B ,` then find the value of `k`

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in traingle AOB,
`(1/2)/_A+(1/2)/_B+/_AOB=180^@`
multiply both side by 2 we have
`/_A+/_B+2/_AOB=360^@`
`360-(/_C+/_D)+2/_AOB=360^@`
`(/_C+/_D)=2/_AOB`
s`(/_C+/_D)=2/_AOB`
on comparing with given ,`(/_C+/_D)=k/_AOB`
we havew `k=2`
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