A triangle has the measurement of 75, 41, and (3x+19)° the solve for x
To solve for x, first, we need to apply the triangle angle sum property, which states that the sum of the interior angles of a triangle is always 180°.
In this case, the given angles are 75°, 41°, and (3x+19)°. So, we can set up an equation:
75° + 41° + (3x+19)° = 180°
Now, we can solve this equation to find the value of x.
115° + 3x + 19° = 180°
Combining like terms:
134° + 3x = 180°
Subtracting 134° from both sides:
3x = 180° - 134°
3x = 46°
Dividing both sides by 3:
x = 46° / 3
x = 15.33
Therefore, the value of x is approximately 15.33.