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In the given figure, AB = DB and AC = DC. If ∠ABD = 58° and ∠DBC = (2x - 4)°, ∠ACB = (y + 15)° and ∠DCB = 63° then the value of 2x + 5y is:
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A. 325

B. 273

C. 259

D. 268

Answer: Option B

Solution (By Examveda Team)

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ΔABC ≅ ΔDBC
y + 15 = 63°
y = 48°
2x - 4 = 29°
2x = 33°
2x + 5y
= 33° + 5 × 48°
= 33° + 240°
= 273°

This Question Belongs to Arithmetic Ability >> Geometry

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