Question

Find the value of the unknowns in each of the following squares​

Answer 1

Answer:

4) (a) ∠a = 37° ∠b = 127°

   (b) ∠c = 67.5° ∠d = 22.5°

Step-by-step explanation:

4) (a) Here, ∠ACD = 45° [Diagonals bisects the angles]

So,  ∠EDC = 53°

So,  ∠a = 90° - 53° = 37°

And  

∠FEC = 98°

So,  ∠b = 360° - (98° + 45° + 90°)

            = 127°

(b) Here,  ∠FCE = 45° [Diagonals bisect the angles]

So,  ∠c +  ∠c + 45° = 180°

      ∠c = 67.5°

And

∠d = 90° -  ∠c

∠d = 22.5°

Answer 2

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