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Q: What is the generalization for a obtuse triangle quadrilateral and pentagon?

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a quadrilateral

No because a trapezoid is a 4 sided quadrilateral whereas an obtuse triangle is a 3 sided shape.

Not always, there could be an obtuse triangle but that won't be turned into a four sided figure

Polygon Regular polygon Vertex Triangle Equilateral triangle Isosceles triangle Scalene triangle Acute triangle Obtuse triangle Right triangle Quadrilateral Rectangle Square Parallelogram Rhombus Trapezoid Pentagon Hexagon Heptagon Octagon Nonagon Decagon Circle Convex

isolese triangle

A hexagon or pentagon will have obtuse angles (greater than 90 degrees). A triangle has angles that are all less than 90 and a square has only 90.

it is an irregular shape

NO

An obtuse triangle can have at most one obtuse angle.A quadrilateral can have up to 3.Every regular polygon (shapes with equal sides and angles) with more sides than a square has obtuse angles.PentagonHexagonHeptagonOctagonNonagonDecagon

An obtuse triangle has an obtuse angle.

There can be at most 3 obtuse angles in a quadrilateral.

obtuse triangle

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