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Question -

In the given figure, if ABC is an equilateral triangle. Find ∠BDC and ∠BEC.



Answer -

It is given that, ABC is an equilateral triangle
 
We have to find   and  
Since   is an equilateral triangle
So,  
And   is cyclic quadrilateral
So       (Sum of opposite pair of angles of a cyclic quadrilateral is 180°.)
Then,
 
Similarly BECD is also cyclic quadrilateral
so 
Hence,   and   .

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