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Solve for x please show work or just a simple explanation

Solve for x please show work or just a simple explanation-example-1

1 Answer

5 votes

Answer:

x = 140

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° × (6 - 2) = 180° × 4 = 720°

sum the 6 interior angles and equate to 720

x + 90 + 104 + 123 + 155 + 108 = 720

x + 580 = 720 ( subtract 580 from both sides )

x = 140

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