3 years ago

Find the value of x in each case:

Mathematics

1 answer:

goblinko [34]3 years ago

6 0

Answer:

x = 11

Step-by-step explanation:

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

∠ FEB and ∠ DEB are adjacent angles and supplementary, thus

∠ FEB = 180 - 4x , so

180 - 4x + x = 147, that is

180 - 3x = 147 ( subtract 180 from both sides )

- 3x = - 33 ( divide both sides by - 3 )

x = 11

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