A cone has one vertex. The "size" of this vertex is known as the cone's opening angle.
So the answer is sort of, but you can't count angles of a 3D shape in the same way as a 2D one.
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It is a section formed by a plane at right angles to the axis of the cone.
3d not = to 2d
A cone has one primary face also known as a base thus having no angles but has a vertex
Circle, cone, cylinder, sphere and equilateral triangle for example.
Oh, dude, a cone is neither acute nor obtuse because it's a three-dimensional object, not an angle. It's like asking if a banana is sweet or salty. But hey, if you want to talk about angles, the tip of a cone can form acute angles with its base, so I guess you could say it's a little edgy in that sense.