An irregular pentagon.
For example, a pentagon that looks like a house (a square with a triangle on top)
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An irregular 5 sided pentagon can be constructed including two right angles.
A triangular prism has 5 faces and 6 vertices. At each vertex it has three plane angles - making 18 two-dimensional angles.
There are fewer obtuse angles than the other two kinds. There are the same number of acute and right angles and so the sum of the measures of the acute angles will be less than 5 right angles. The sum of two obtuse angles will be less than 5 right angles but may be less than, equal to, or more than 5 acute angles.
A hexahedron can have 5 to 8 vertices.
It does not exist as a 5 sided polygon. To have 5 sides, it must have 5 angles (or vertices). The sum of the angles of a 5 sided polygon is (5-2) x 180o = 540o. The sum of 4 right angles is 4 x 90o = 360o → the 5th angle is 540o - 360o = 180o which is a straight line There are infinitely many points with such an angle along each of the sides; or to put it another way, for a vertex to exist it cannot have an angle of 180o. Thus if the polygon has 4 right angles, it cannot be a 5 sided polygon.