Question

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

Answer 1

Step-by-step explanation:

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

Given :

⬤ Three Angles in a Triangle are in the Ratio 2:3:4 .

To Find :

⬤ Measure of the Angles .

Solution :

Let :

• First Side of Triangle be 2x .
• Second Side of Triangle be 3x .
• Third Side of Triangle be 4x .

As we know that , Sum of all Angles of a Triangle is 180 degree . Hence ,

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

9x = 180

x = 180/9

x = 20

Therefore , The Value of x is 20 .

Hence ,

First Angle = 2x

= 2(20)

= 40

Second Angle = 3x

= 3(20)

= 60

Third Angle = 4x

= 4(20)

= 80

Therefore , The Measure of Three Angles of a Triangle are 40° , 60° and 80°.