Hi,         

Let x, 2x and 6x represent the smallest angles and larger two angles respectively

question states***

  x + 2x + 6x = 180°

solving for x

          9x = 180°

           x = 20°, the smallest, the others 40° and 120°



CHECKING our Answer

  20° + 40° + 120° = 180°

 

 

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
 let x = smallest angle of triangle

then, 6x = largest angle

and 2x = other angle

fact: the three angles of a triangle total 180 deg

therefore, x+2x+6x=180

or 9x=180

dividing both sides of the  equation by 9,

x=20

ans: the smallest angle of the triangle is 20 deg 

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