Question

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

Answer 1

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 .