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Q: What is a shape with all of its angles obtuse and no 2 sides are parallel?

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parallelogram

square

a trapezium

parallelogram

A trapezoid has 4 sides, 2 acute and 2 obtuse angles, and only one pair of parallel sides

a diamond does. There are two obtuse angles in it.

A parrelellegram

a diamon, pentagon, nonagon, heptagon

A parallelogram or a rhombus

this shape would be a rhombus

A trapezoid perhaps?

E.g. a parallelogram. See en.wikipedia.org.

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