Final answer:
The correct measure of ∠ABF is given as an expression in the question which is 2x + 16.
Step-by-step explanation:
The question is asking for the measure of ∠ABF where the given information includes two angle expressions, m∠ABF = 2x + 16 and m∠ABE = 7x – 7. However, to find the measure of ∠ABF, we do not actually need to solve for x or use the expression for ∠ABE since the measure of ∠ABF is directly given as part of the question.
According to the options provided:
- Option A (∠ABF = 2x - 16) changes the sign from the original expression, which is incorrect.
- Option B (∠ABF = 2x + 16) matches the original expression exactly, making it the correct choice.
- Option C (∠ABF = 7x - 7) is the expression for ∠ABE and not ∠ABF.
- Option D (∠ABF = 7x + 7) does not match the given expression for either angle.
Hence, option B is the correct answer: ∠ABF = 2x + 16.