Question

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Answer 1

Answer:

x = 75°

Step-by-step explanation:

Given, ABCD is a square and DEC is an equilateral triangle

⇒ ∠DEC = ∠ECD = ∠CDE = 60°  [Property of equilateral Δ]

∵ BD is the diagonal of square ABCD and we know that diagonals of a square forms an angle of 45° with its adjacent sides,

⇒ ∠BDC = 45°

In ΔFDC,

∠FDC  = 45°

∠FCD  = 60°

⇒ ∠DFC = x = 180° - 45° - 60° = 75°  [By angle sum property]  

Answer 2

Answer:

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Step-by-step explanation:

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