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Here's a list of shapes that need a right angle: square rectangle right triangle
It's not that easy to answer because a straight angle is like a straight line and I think that it would be on either every or none of the shapes that I would know of. Any shape has a right, obtuse,or acute angle. So, I am guessing that no shapes have straight angles. or that a straight angle is in every angle which is not true.
rectangles
Angle