Two. The top 'edge' or point, and the bottom edge defining the circle or ellipse of the base.
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A solid cone has 2 faces and 1 edge
A cylinder and a cone - are two entirely different 3D shapes. A cylinder has three faces & two edges. A cone has two faces and one edge.
It has one edge. The edge that connects the bottom circle to the cone part.
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A cone has no acute angles because a cone is a 3D shape and not a 2D.