20
sided polygon,
-) What is the sum of angles of this polygon
Sna
a) How many diagonals can be drawn from a
to other Vertices.
b) How many triangles will be made by these
Vertex
diagonals
c) What is the sum of angles of this polygon
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Answer:
a) 20
b) A diagonal of a polygon is a line from a vertex to a non-adjacentvertex. So a triangle, the simplest polygon, has no diagonals. You cannot draw a line from oneinterior angle to any other interior angle that is not also a side of thetriangle. A quadrilateral, the next-simplest, has two diagonals.
c) The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at eachvertex, the sum of the measures of the exterior angles of a polygon is always 360°.
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