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The only regular shape that has right angles is a square. A regular shape is one where all of its sides are the same length and all of its angles are the same angle.

A right triangle is a notably non-regular shape with a right angle, but this is due to its simplicity and some useful mathematical facts about it. You could basically cut any corner off of a square and get a non-regular shape with right angles. If your cut is shallow enough, you will get a pentagon. If it's too deep, you just get a right triangle. You can keep cutting corners off (preserving the "right" one) to get a figure of any number of sides. It'll just look weird.

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