A polygon is divided into triangles by drawing a maximum of 17 diagonals from one of its vertices.
1) what is the number of sides of polygon.
2) How many triangles are obtained.
3) what is the sum the angles of the polygon.
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A diagonal is a segment that connect two non-consecutive vertices in polygon.
⇒ The number of diagonal in a polygon that can be drawn from any vertex in polygon is three less than the number of sides.
⇒ Let n be the number sides in polygon.
⇒ So, the number of diagonals drawn from the vertex of polygon of n sides is (n−3).
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