In the adjoining figure chords AC and BD...

In the adjoining figure chords AC and BD of a circle O, intersect at right angles at E. If `/_ AOB = 25^@` calculate `/_EBC`

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OA=OB
`/_OAB=/_OBA=25^0`
`/_OAB`
`/_A+/_O+/_B=180^0`
`50^0+/_AOB=180^0`
`/_AOB=130^0`
`/_ACB=1/2*/_AOB`
`/_ACB=1/2*130=65^0`
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