Hi,

Let x and (180°-x) represent the smaller and Larger angle respectively

  (180°-x) = 2x + 6°

Solving for x

     174° = 3x

       x = 58° , the smalller angle.  The larger 122°    (180°-58°)



CHECKING our Answer***

 122° = 2*58° + 6 = 116° + 6° 

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