Final answer:
To solve for x in the triangle, we use the property that the sum of the interior angles of any triangle is 180 degrees. By adding the known angles and setting up an equation with the expression for the third angle, we solve for x, which equals 12.
Step-by-step explanation:
The question asks to solve for x in a triangle where the angles are given. To find the value of x, we use the property that the sum of the interior angles of a triangle is always 180 degrees. In this case, we have one angle as 25°, another angle represented by the expression (5x-19), and the question mentions a third angle which seems to be a typo '1149', but if we presume it is '114°', the equation to find x would be:
25° + (5x - 19) + 114° = 180°
Solving for x:
- Add the known angles: 25° + 114° = 139°.
- Subtract this sum from 180°: 180° - 139° = 41°.
- The equation now is 5x - 19 = 41.
- Add 19 to both sides: 5x = 60.
- Finally, divide by 5: x = 12.
Therefore, x equals 12.