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The sum of the interior angles is: ___ degrees X=

The sum of the interior angles is: ___ degrees X=-example-1
User Prefect
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EXPLANATION

By the sum of interior angles of an hexagon theorem, we know that the sum of angles is equal to 720 degrees.

90 + x + (x+22) + 90 + x + (x+22) = 720

Removing the parentheses:

90 + x + x + 22 + 90 + x + x + 22 = 720

Adding like terms and numbers:

224 + 4x = 720

Subtracting 224 to both sides:

4x = 720 - 224

Subtracting numbers:

4x = 496

Dividing both sides by 4:

x= 496/4

Simplifying:

x = 124

Answers:

The sum of interior angles is 720 degrees.

x = 124

User Andreyco
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