Answer:
∠ EBF = 47°
Step-by-step explanation:
since BE bisects ∠ ABF , then
∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22
∠ ABF = ∠ ABE + ∠ EBF ( substitute values )
8w - 6 = 2w + 22 + 2w + 22
8w - 6 = 4w + 44 ( subtract 4w from both sides )
4w - 6 = 44 ( add 6 to both sides )
4w = 50 ( divide both sides by 4 )
w = 12.5
Then
∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°
