3 years ago

Can anyone help with 9? Anything helps

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

∠ABF and ∠CBE are vertical angles

3x + 25 + 7x - 19 = 10x - 6

Set them equal to each other

∠ABF = ∠CBE

6x + 26 = 10x - 6

Isolate the x. Subtract 6x from both sides and add 6 to both sides

6x (-6x) + 26 (+6) = 10x (-6x) - 6 (+6)

26 + 6 = 10x - 6x

Simplify

32 = 4x

Divide 4 from both sides

32/4 = 4x/4

x = 32/4

x = 8

m∠ABF = 6x + 26

Plug in 8 for x

6(8) + 26 = m∠ABF

48 + 26 = m∠ABF

m∠ABF = 74°

74° is your answer for m∠F

hope this helps

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