$ABC$ is a triangle such that $\sin(2A + B) = \sin(C - A) = -\sin(B + 2C) = \frac{1}{2}$. If $A, B,$ and $C$ are in $A.P.$,then $A, B,$ and $C$ are:

  • A
    $30^o, 60^o, 90^o$
  • B
    $45^o, 60^o, 75^o$
  • C
    $45^o, 45^o, 90^o$
  • D
    $60^o, 60^o, 60^o$

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