11 vertices (one more than the number of vertices in the base).
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It depends on a decagonal what. A decagonal prism has 20 vertices. A decagonal pyramid has 11 vertices.
A decagonal based pyramid will have 11 faces, 11 vertices and 20 edges
The question cannot be answered because it makes no sense. "Decagonal" is an adjective, not a noun and the answer will depend on whether the question is about a decagonal pyramid, a decagonal prism or decagonal bipyramid, or something else.
It depends on a decagonal what. There will be different answers for a decagonal pyramid, prism, dipyramid, etc.
A pyramid has one more corner and faces than the number of sides in its base; thus a decagonal pyramid has 10 + 1 = 11 faces and corners. A pyramid has twice as many edges as sides in its base; thus a decagonal pyramid has 2 X 10 = 20 edges.