a traingle has angle measures of 75 degrees, 41 degrees, and (3x+19) degrees. solve for x

To find the value of x, we can use the fact that the sum of the angles in a triangle is always equal to 180 degrees.

Given angles: 75 degrees, 41 degrees, and (3x + 19) degrees

Sum of the angles in the triangle: 75 + 41 + (3x + 19) = 180

Simplify the equation:
75 + 41 + 3x + 19 = 180
135 + 3x + 19 = 180
3x + 154 = 180
3x = 26
x = 26 / 3
x = 8.67

Therefore, the value of x is 8.67.