A triangle has angle measures of 75°, 41°, and (3x+19)°. Solve for x.

Answer 1

The sum of the angle measures in a triangle is always 180 degrees. Therefore, we can set up the equation:

75 + 41 + (3x + 19) = 180

Combine like terms:

135 + 3x = 180

Now, subtract 135 from both sides:

3x = 45

Finally, divide both sides by 3:

x = 15

So, the solution is x = 15.