No.
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NOPE!! a cylinder has no obtuse angles nor acute or right
anything with angles does have vertices * * * * * The circular base of a cylinder meets the curved surface at an angle of 90 degrees. So there are an infinite number of angles, but not a vertex in sight. Something wrong with your statement, perhaps!
Strictly, if it has a circular base, it is a circular cylinder. Otherwise, it could have an oval base. If the long axis is at right angles (perpendicular) to the plane of the base, then it is a right circular cylinder.
None normally but it does have 2 congruent parallel circles and there are 360 degrees around a circle.
There are right angles, acute angles, obtuse angles, and straight angles.