Question

If m< ABF=7b-24 and m< ABE = 2b, find m< EBF .

Answer 1

∠ EBF = 16°

Explanation:

note that EB is the angle bisector of ∠ ABF , then

∠ ABE = ∠ EBF = 2x and

∠ ABF = ∠ ABE + ∠ EBF , that is

7b - 24 = 2b + 2b

7b - 24 = 4b ( subtract 4b from both sides )

3b - 24 = 0 ( add 24 to both sides )

3b = 24 ( divide both sides by 3 )

b = 8

Then

∠ EBF = 2x = 2(8) = 16°