Final answer:
To find angle FBE, add the measures of angles FBC (10x-9) and CBE (4x+15) to get FBE = 14x + 6, which is option B.
Step-by-step explanation:
The student is asking how to find the measure of angle FBE given the measures of angles FBC and CBE in terms of x. This is a problem involving the addition of algebraic expressions.
Angle FBC is given as 10x-9, and angle CBE is given as 4x+15. To find the measure of angle FBE, we simply add the measures of angle FBC and angle CBE together:
FBE = FBC + CBE
FBE = (10x - 9) + (4x + 15)
Now, we combine like terms:
FBE = 10x + 4x - 9 + 15
FBE = 14x + 6
Therefore, the correct answer is FBE = 14x + 6, which corresponds to option B.