Question

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In the given figure, triangle ABC is equilateral .Find angle BEC fastttt​

Answer 1

Answer:

It is given that △ ABC is equilateral

We know that

∠BAC = ∠ABC = ∠ACB = 60°

(i) We know that the angles in the same segment of a circle are equal

∠BDC = ∠BAC = 60°

So we get

∠BDC = 60°

(ii) We know that the opposite angles of a cyclic quadrilateral are supplementary

So we get

∠BAC + ∠BEC = 180°

By substituting the values

60° + ∠BEC = 180°

On further calculation

∠BEC = 180° – 60°

By subtraction

∠BEC = 120°