Question

the angles of a triangle are in the ratio of 2:4:3. find the smallest angle of the triangle

Answer 1

let 1st angle=2A,
2nd angle=4A,
3rd angle=3A,

then

2A+4A+3A=180°,

9A=180°,

A=20°,

therefore

smallest angle=2×20°=40°

Answer 2

ratios are always taken as x so,
2x:4x:3x
therefore,
2x+4x+3x=180°(angle sum property of a triangle)
9x=180
x=180/9
x=20
so now substitute the value of x as 2×x and 4×x and 3×x and find the smallest angle