### Instruction: How many distinct diagonals of a convex pentagon can be drawn?### Response: A diagonal of a convex pentagon is a line segment that connects two non-adjacent vertices of the pentagon.
There are five vertices in a convex pentagon, and each vertex can be connected to two other non-adjacent vertices by a diagonal.
Therefore, there are 5 times 2, or 10, possible diagonals that can be drawn from each vertex.
However, this counts each diagonal twice, once for each endpoint.
To avoid double-counting, we can divide the total number of possible diagonals by 2.
This gives us 10 divided by 2, or 5, distinct diagonals that can be drawn in a convex pentagon.