Question

if angles of a triangle are in a ratio of 2:3:4 find the value of each angles​

Answer 1

Answer:

let angles be 2x , 3x and 4x

2x+3x+4x =180

9x =180

x =180/9

x = 20

Hence angles are 2×20 = 40°

3×20 = 60°

4×20 = 80°

Answer 2

Answer:

${ \huge{ \underline{ \sf{ \red{Solution:}}}}}$

⇒ Ratio of angles of triangle = 2:3:4

⇒ Sum of 3 angles in a triangle = 180°

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

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

$: { \implies{ \sf{x = \frac{180}{9} = 20}}}$

$: { \implies{ \sf{x = 20}}}$

Now, let's find the each angles:-

⇒ First angle = 2x = 2 × 20 = 40°

⇒ Second angle = 3x = 3 × 20 = 60°

⇒ Third angle = 4x = 4 × 20 = 80°

${ \therefore{ \sf{ \pink{The \: angles \: in \: the \: triangle \: are \: 40° , 60° , 80° }}}}$