cobravenom5958 cobravenom5958

14-10-2021
Mathematics

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If m∠ABF = (7x + 31)°, m∠EBF = (3x – 6)°, and m∠ABE = (12x – 9)°, find m∠ABE.

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anasweeney43 anasweeney43

14-10-2021

Answer:

<ABE = 60 degrees

Step-by-step explanation:

<ABE + <EBF = <ABF

(12x-9) + (3x-6) = 7x +31

15x - 15 = 7x + 31

15x - 7x = 31 + 15

8x = 46

x = 46/8

x = 5.75

<ABE = 12 (5.75) - 9

= 60 degrees

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