a triangle had one angle measuring 3x degrees. A second angle measures 2x+20 degrees and the third agle measures 4x-20 degrees. what is the value of x?
The sum of the measures of the angles in a triangle is always 180 degrees.
So, we can write the equation:
3x + 2x + 20 + 4x - 20 = 180
Combine like terms:
9x = 180
Divide both sides by 9:
x = 20
Therefore, the value of x is 20.
To find the value of x, we need to set up an equation using the angles of the triangle.
The sum of the angles in a triangle is always 180 degrees. Therefore, we can write the equation:
3x + (2x + 20) + (4x - 20) = 180
Simplifying the equation:
3x + 2x + 20 + 4x - 20 = 180
9x = 180
Divide both sides by 9:
x = 180 / 9
x = 20
Therefore, the value of x is 20.