in triangle ABC if all the angles taken in order are in the ratio 1/2:1/3:1/6,then calculate the measures of all the angles
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Let the measures of angle be 1/2x , 1/3x and 1/6x.
Sum of angles of triangl=180°
1/2x+1/3x+1/6x=180
3x+2x+1x/6=180
6x/6=180
x=180°
1st angle=1/2×180=90°
2nd angle=1/3×180°=60°
3rd angle=1/6×180°=30°
Sum of angles of triangl=180°
1/2x+1/3x+1/6x=180
3x+2x+1x/6=180
6x/6=180
x=180°
1st angle=1/2×180=90°
2nd angle=1/3×180°=60°
3rd angle=1/6×180°=30°
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