The value of x is 27. Option 1 is the right choice.
The sum of the angles in a triangle is 180 degrees.
Angle A is 10 degrees.
Angle B is 2x-5 degrees.
Angle C is x+8 degrees.
Therefore, we have the following equation:
10 + 2x-5 + x+8 = 180
Combining like terms, we have:
3x+13 = 180
Subtracting 13 from both sides, we have:
3x = 167
Dividing both sides by 3, we have:
x = 27
Therefore, the value of x is 27.
Option 1 is the right choice.