How do you find the value of x if the angles of a triangle are expressed as 2x, 3x, and 4x degrees?

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To find the value of x in the triangle with angles of 2x, 3x, and 4x degrees, we need to use the property that the sum of the angles in any triangle equals 180 degrees.

Let’s set up the equation:

  • The first angle: 2x
  • The second angle: 3x
  • The third angle: 4x

Now, we sum these angles:

2x + 3x + 4x = 180

This can be simplified:

9x = 180

To solve for x, divide both sides of the equation by 9:

x = 180 / 9

x = 20

So, the value of x is 20 degrees.

Now, you can find the individual angles of the triangle:

  • First angle: 2x = 2(20) = 40 degrees
  • Second angle: 3x = 3(20) = 60 degrees
  • Third angle: 4x = 4(20) = 80 degrees

In conclusion, the angles of the triangle are 40 degrees, 60 degrees, and 80 degrees. Thus, x equals 20 degrees.

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