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In Figure, if A B C is an equilateral ...

In Figure, if `A B C` is an equilateral triangle. Find `/_B D C\ a n d\ /_B E C`

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`A B C` ,is an equilateral triangle.
`/_ABC=/_BCA=/_CAB=60^0`....(I)
angles inscribed in the same arc are equal.
`/_BAC=/_BDC`
`/_BAC =60^0` from i
`/_BDC=60^0`
`BACE` is cyclic quadrilateral
The sum of opposite pair of angles quadrilateral is `180^0`
`/_BAC+/_BEC=180^0`
`60^0+/_BEC=180^0`
`/_BEC=180^0-60^0=120^0`
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