What is the value of x?

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x = 111

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 = 7 , then

sum = 180° × 5 = 900

Sum the interior angles and equate to 900

x + 139 + 121 + 125 + 126 + 158 + 120 = 900

x + 789 = 900 ( subtract 789 from both sides )

x = 111

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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