A triangle has angle measures of 75°, 41°, and ( 3x + 19 )°. Solve for x.
The sum of the angles in a triangle is always 180°. Therefore, we can write the equation:
75° + 41° + (3x + 19)° = 180°
Combining like terms:
75° + 41° + 3x + 19° = 180°
115° + 3x + 19° = 180°
Subtracting 115° from both sides:
3x + 19° = 65°
Subtracting 19° from both sides:
3x = 46°
Dividing both sides by 3:
x = 46° / 3
x ≈ 15.33
Therefore, x is approximately equal to 15.33.