A triangle has angle measures of 75°, 41°, and (3x+19)°. Solve for x.
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To solve for x, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Therefore, we can write the equation:
75° + 41° + (3x + 19)° = 180°
Combining like terms, we have:
(3x + 135)° = 180°
Next, we can isolate the variable by subtracting 135 from both sides:
3x = 180° - 135°
3x = 45°
Finally, we can solve for x by dividing both sides by 3:
x = 45° / 3
x = 15°
Therefore, x is equal to 15 degrees.