Question

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

Answer 1

2x+3x+4x=180
9x=180
x=180/9
x=20

2x=2×20=40
3x=3×20=60
4x=4×20=80

Answer 2

$\huge{\green{\overbrace{\underbrace{\blue{\mathfrak{answer::}}}}}}$

$\sf{let \: the\:the\:common\:multiple\:be\:} \mathnormal{x}$

$Since\:angle\:sum\:property\:of\:triangle\:is \:180--\\==> 2x + 3x +4x = 180\\==> 9x = 180\\==>x = \frac{180}{9} \\==> x = 20\\2x => 2 \:* 20 = 40\\3x => 3 \:* 20 = 60\\4x => 4 \:* 20 = 80\\\\\sf{Therefore, the \:three\:angles\:are-40,60\:and\: 80$

I hope that my answer helps you...