Question

Inside a square ABCD, BEC is an equilateral triangle If CE and BD is intersect at 0, then <BOC is.​

Answer 1

Answer:

75

Step-by-step explanation:

Inside a square ABCD, BEC is an equilateral triangle .If CE and BD intersect at O,then BOC is

A) 60°

B) 75°

C) 90°

D) 120°

Correct Answer:

B) 75°

Answer 2

Answer:

∠ABC = 90°

⇒ ∠OBC = 45°

[∵ ∠ABC = 2∠OBC]

∠OCB = 60°

[∵ ∠BEC is equilateral]

∴ ∠BOC + ∠OCB + ∠OBC = 180°

∴ ∠BOC = 180° – 60° – 45° = 75°