A triangle has angles measures of 2x, x, and 75° . Find the value of x.(
To find the value of x, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees.
Therefore, we can set up the equation:
2x + x + 75 = 180
Combining like terms, we get:
3x + 75 = 180
Subtracting 75 from both sides:
3x = 105
Dividing by 3:
x = 35
Therefore, the value of x is 35.