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Home » If the sum of the angles in a polygon is 1440 degrees, how many sides does the polygon have? - Feedz API

If the sum of the angles in a polygon is 1440 degrees, how many sides does the polygon have? - Feedz API

📅 May 19, 2026 👤 scraface

May 19, 2026

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Let’s consider the four quadrants formed by the lines $ x + y = 0 $ an...
In the first quadrant: $ x + y \geq 0, x - y \geq 0 \Rightarrow |x + y...
In the second: $ x + y \geq 0, x - y \leq 0 \Rightarrow 2y $
In the third: $ x + y \leq 0, x - y \leq 0 \Rightarrow -2x $
In the fourth: $ x + y \leq 0, x - y \geq 0 \Rightarrow -2y $
$ 2|x| \leq 8 \Rightarrow |x| \leq 4 $
$ 2|y| \leq 8 \Rightarrow |y| \leq 4 $
Thus, the region is a square with side length 4, bounded by $ |x| \leq...
This is a square centered at the origin with vertices at $ (\pm4, 0),...
\text{Area} = \frac{1}{2} \cdot \text{diagonal}_1 \cdot \text{diagonal...

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