Question

The angles of a triangle are in the ratio 2:3:4. Find the angles of the triangle.
plz send a photo of the answer.

Answer 1

Answer:

Let the angles be 2x ,3x and 4x respectively

We know, sum of angles is 180

So,

→ 2x + 3x + 4x = 180

→ 9x = 180

→ x = 180/9

→ x = 20

Angles :-

2x = 2 × 20 = 40°

3x = 3 × 20 = 60°

4x = 4 × 20 = 80°

____________________________

Smallest → 40°

Answer 2

Answer:

$\huge{ \sf{ \pmb{Required \: Answer... </p><p>}}}$

Ratio of Angles of triangle = 2 : 3 : 4

Let The angles of triangle be 2x , 3x , 4x

We know that,

Sum of all angles in triangle = 180°

${ \implies{ \sf{2x + 3x + 4x = 180}}}$

$\: { \implies{ \sf{5x + 4x = 180}}}$

$\: { \implies{ \sf{9x = 180}}}$

$\: { \implies{ \sf{x = \frac{180}{9} }}}$

$\: { \implies{ \sf{x = 20°}}}$

Let's find angles of triangle :

$\: { \implies{ \sf{2x = 2(20) = 40°}}}$

$\: { \implies{ \sf{3x = 3(20) = 60°}}}$

$\: { \implies{ \sf{4x = 4(20) = 80°}}}$

${ \therefore{ \red{ \sf{Angles \: of \: the \: triangle \: are \: 40° , 60° , 80°}}}}$