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



(1 point)

1 answer

To find x, we can set up an equation using the fact that the sum of the angles in a triangle is 180°.

75° + 41° + (3x+19)° = 180°

Simplifying the equation, we get:

(3x+19)° = 180° - 75° - 41°

(3x+19)° = 64°

Next, we can solve for x by subtracting 19 from both sides of the equation:

3x = 64° - 19°

3x = 45°

Finally, divide both sides of the equation by 3 to solve for x:

x = 45° / 3

x = 15°