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Let ABCD be a qudrilateral such that the...

Let ABCD be a qudrilateral such that there exists a point E inside the quadrilateral satisfying `AE= BE= CE = DE`. Suppose `angleDAB, angleABC, angleBCD` is an arithmetic progression. Then the median of the set `{angleDAB, angleABC, angleBCD}` is

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

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