The exterior angles of a triangle measure x°, (2x)°, and (3x)°. What is the value of x?
The sum of the exterior angles of any polygon is always 360 degrees. Therefore, the sum of the exterior angles of a triangle must be equal to 360 degrees.
In this case, the sum of the exterior angles is x° + (2x)° + (3x)° = 360°.
Combining like terms, we have 6x° = 360°.
To find the value of x, we divide both sides of the equation by 6:
6x°/6 = 360°/6
x° = 60°
Therefore, the value of x is 60 degrees.
To find the value of x, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees.
In a triangle, the sum of the measures of the three exterior angles is equal to 360 degrees. So we can write the equation:
x + (2x) + (3x) = 360
Now let's solve for x:
x + 2x + 3x = 360
6x = 360
x = 360 / 6
x = 60
Therefore, the value of x is 60.
x + 2x + 3x = 360
Solve for x