a) What is the suitable name of the polygon?
b) How many diagonals can be drawn from any one of the vertices?
c) What is the sum of the angles of the polygon?
d) What is the sum of another polygon with one side more?
Answers
Answered by
4
Answer:
a) quadrilateral
b) 3 diagonals
c) (n-2)*180°
d) 1980°=(n-2)*180°
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Answered by
1
Answer:
a) quadrilateral
b)For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3). However, this would mean that each diagonal would be drawn twice, (to and from each vertex), so the expression must be divided by 2.
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 each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
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