Question

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

Answer 1

2x+3x+4x=180

9x=180

x=20

angle 1=2*x=2*20=40°

angle 2=3*x=3*20=60°

angle 3=4*x=4*20=80°

*hope it helped...

Answer 2

Answer:

Let us assume the measure of the given angles be (2x)°,(3x)° and (4x)°

The sum of the angles of a triangle is 180°

$\large \purple{{⇒}2x + 3x + 4x = 180}$

$\large \purple{{⇒}9x = 180}$

$\large \purple{{⇒}x = \frac{180}{9} }$

$\large \purple{{⇒}x = 20}$

First angle = 2x = (2×20)° = 40°

Second angle = 3x = (3×20)° = 60°

Third angle = 4x = (4×20)° = 80°