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A B is a diameter of a circle with cen...

`A B` is a diameter of a circle with centre `O` and radius `O D` is perpendicular to `A Bdot` If `C` is any point on arc `D B ,` find `/_B A D\ a n d\ /_A C D`

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Solution:
`OA=OD`
`/_OAD=/_ADO`(Angles opposite to equal sides are equal)
`/_\AOD`,
`/_OAD+/_ADO+/_AOD=180^@`
`2OAD + 90^@ = 180^@`
`/_OAD=90/2=45^@`
`/_AOD=2/_ACD`
`/_ACD=45^@`
Hence the required answer is `45^@`.
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