Question

If angles of a triangle are in the ratio 2: 3:4. Find the value of
each angle.
​

Answer 1

Answer:

the angles are : 40, 60, 80

Step-by-step explanation:

Answer 2

Answer:

Value of each angle is 40°, 60°, 80° respectively.

Step-by-step explanation:

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

Then,

2x + 3x + 4x = 180°

9x = 180

x = 180/9

x = 20

Then,

Angle 1 = 2x = 2*20 = 40°

Angle 2 = 3x = 3*20 = 60°

Angle 3 = 4x = 4*20 = 80°

Verification :

According to the Angle Sum Property of Triangles,

Sum of all the 3 angles of the Triangle is always 180°

So,

40 ° + 60° + 80° = 180°

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