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In the adjoining figure, AB = AC, and ∠ACB = 64°, then ∠BEC =?
  • a)
    130°
  • b)
    128°
  • c)
    122°
  • d)
    120° 
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In the adjoining figure, AB = AC, and ∠ACB = 64°, then ∠BE...
∵ AB = BC
∴ ∠ABC = ∠ACB = 64° 
∴ ∠BAC = 180° – 64° × 2 = 52° 
∴ ABCD is a cyclic quadrilateral. 
∴ ∠A + ∠E = 180°
∴ ∠A + ∠E = 180°
= 128° 
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