In Figure, A C B is a line such that /D ...

In Figure, `A C B` is a line such that `/_D C A=5x\ a n d\ /_D C B=4xdot` Find the value of `x`

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Verified by Experts

We know that
In a quadrilateral `ABCD`.
if AO and BO are bisectors of angle A and angle B respectively.
then
`/_AOB=1/2{/_C+/_D}`
so
`2(/_AOB)=/_C+/_D`
`2(75^@)=/_C+/_D`
so
`/_C+/_D=150^@`

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