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Three angles of triangle= 4:5:6.
sum of the angles= 4+5+6= 15.
sum of the total angles in traingle= 180 degrees.

1st angle= 4/15*180degrees=  48 degrees.

2nd angle= 5/15*180degrees=60 degrees.

3rd angle= 6/15*180 degrees= 72 degrees.

sum of all angles in triangle= 180 degrees.
=48+60+72= 180 degrees.

hope this helps. 

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Let 4:5:6 be 4x,5x and 6x According to angle sum property of triangle sum of 3 angles is 180 degrees Thus 4x+5x+6x=180 15x=180 x=12 Therefore 4x= 4*12= 48 5x=5*12= 60 6x=6*12=72
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