Question

in the figure given below, inscribed
triangle ABC is equilateral. find angle BDC and angle BEC

quick please, it's urgent​

Answer 1

Answer:

As we know that, Angles on the same segments are equal.

therefore, angle BDC = angle BAC

∆ABC is an equilateral triangle

so, angle BAC = 60°

hence, angle BDC = 60°

quadrilateral BECD is a concyclic quadrilateral.

therefore, angle BEC+ angle BDC = 180

or, angle BEC = 180-60 = 120°

Hence, Required angle BDC and angle BEC are 60° and 120° respectively.