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Help plss
If m/ABF = 8w - 6 and m/ABE = 2(w + 11), find m/EBF.
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Help Plss If MABF 8w 6 And MABE 2w 11 Find MEBF B ㅏ class=

Sagot :

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°

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