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Find the value of x in the figure.

(4x-5)
177
(4x-3)
(3x-3)
118
(3x+6)

Find the value of x in the figure. (4x-5) 177 (4x-3) (3x-3) 118 (3x+6)-example-1

1 Answer

12 votes

Answer:

x = 35

Explanation:

The sum of the interior angles of a polygon is

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

Here n = 6, then

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

User Edwar
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