walkerquinton11 walkerquinton11

22-09-2020
Mathematics

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if m<ABF=(7x+20)°,m<FBC=(2x-5)°,and m<ABC=159°, find the value of x

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jimrgrant1 jimrgrant1

22-09-2020

Answer:

x = 16

Step-by-step explanation:

∠ ABF + ∠ FBC = ∠ ABC , substitute values

7x + 20 + 2x - 5 = 159 , that is

9x + 15 = 159 ( subtract 15 from both sides )

9x = 144 ( divide both sides by 9 )

x = 16

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