Final answer:
After setting up and solving an equation based on the definition of supplementary angles, we find that the value of x is 43. Therefore, the correct answer is C. 43.
Step-by-step explanation:
When two angles are supplementary, their measures add up to 180 degrees. Given that angle A is 89° and angle B is represented as (2x + 5)°, we can set up the following equation:
89° + (2x + 5)° = 180°
This simplifies to:
2x + 94° = 180°
Subtracting 94 degrees from both sides gives us:
2x = 86°
Dividing both sides by 2 gives us the value of x:
x = 43
Therefore, the correct answer is C. 43.