Question

The measure of angles in a triangle are in a ratio of 2 : 3 : 4. What are the measures of the angles ?​

Answer 1

Answer:

40, 60,80

Step-by-step explanation:

assume the ratios be in X

therefore it becomes 2x:3x:4x

as we know that sum of all interior

Answer 2

$\underline{\orange{\bf Given :-}}$

• The measure of angles in a triangle are in a ratio of 2 : 3 : 4

$\underline{\orange{\bf To \: Find :-}}$

• The measure of angles

$\underline{\orange{\bf Solution :-}}$

☆ Let ☆

• 2x°
• 3x°
• 4x°

☆ We know that ☆

$\boxed{\sf Sum \: of \: all \: angles \: of \: a \: triangle \: is \: 180°}$

☆ According to condition ☆

$\implies$2x + 3x + 4x = 180

$\implies$9x = 180

$\implies$x = (180)/9

$\implies$x = 20

Hence, the value of x is 20

• 2x° = (2 × 20)° = 40°
• 3x° = (3 × 20)° = 60°
• 4x° = (4 × 20)° = 80°

∴ The measure of the angles are 40°, 60°, 80°

$\underline{\orange{\bf Verification :-}}$

$\implies$40 + 60 + 80 = 180

$\implies$180 = 180

$\underline{\sf HENCE \: PROVED}$