3 years ago

What is the m < FAB?

Mathematics

1 answer:

Julli [10]3 years ago

6 0

Answer:

∠ FAB = 75°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FAB is an external angle, thus

13x - 3 = 3x + 2 + 55 = 3x + 57 ( subtract 3x from both sides )

10x - 3 = 57 ( add 3 to both sides )

10x = 60 ( divide both sides by 10 )

x = 6

Thus

∠ FAB = 13x - 3 = 13(6) - 3 = 78 - 3 = 75°

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