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3 years ago

Find the value of x in the figure

Mathematics

1 answer:

Archy [21]3 years ago

7 0

Answer:

x = 35

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the given angles and equate to 720

4x - 5 + 117 + 3x - 3 + 3x + 6 + 118 + 4x - 3 = 720, that is

14x + 230 = 720 ( subtract 230 from both sides )

14x = 490 ( divide both sides by 14 )

x = 35

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