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In a circle with centre O,chords AB and ...

In a circle with centre O,chords AB and CD intersect inside the circumference at E.Prove that `/_AOC+/_BOD=2/_AEC`

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`/_AOC=2/_ABC`
`/_AOC=2/_EBC-(1)`
`/_BOD=2/_BCD`
`/_BOD=2/_BCE-(2)`
adding equation 1 and 2
`/_AOC+/_BOD=2(/_EBC+/_BCE`
`In/_EBC`
`/_BEC=180^0-/_EBC-/_BCE`
...
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