Question

if the angles of a triangle are in the ratio 2:3:4 then find the different between the greatest and the smallest angles

Answer 1

2x +3x+4x =180
x=20

2x=2×20=40- smallest
3x=3×20=60
4x=4×20=80 - greatest

greatest - smallest
80-40=40

answer=40

Answer 2

The angles are 2x,3x, 4x
the sum of all angles in a triangle is 180
therefore,2x+3x+4x=180
9x=180
x=20

2x=2×20=40
3x=3×20=60
4x=4×20=80
therefore,difference between between greatest and smallest is 80-40=40
smallest angle=40
greatest angle=80

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