Question

ABCD is a square. ABO is an equilateral triangle
inside the square. Find DOC,
Fastt
Step by step explanation

Answer 1

Answer:

150 degree will be the correct answer

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Answer 2

Answer:

ΔAOB is equilateral

⇒ AO = OB = AB and

∠OAB = ∠OBA = ∠AOB = 60°

Also, ABCD being a square,

AB = BC = CD = AD

⇒ AO = AD and BO = BC

∠DAO = ∠CBO = 30° (∵ ∠OAB = ∠OBA = 60°)

In ΔADO, AO = AD ⇒ ∠ADO = ∠AOD

= 1/2 (180° – ∠DAO) = 1/2 (180° – 30°)

= 75°

Similarly, ∠BOC = 75°

∴ ∠DOC = 360° – (∠AOB + ∠AOD + ∠BOC) = 360° – (60° + 75° + 75°) = 360° – 210° = 150°