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Answers
Answer:
The answer is 5.
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Answer: It is 6
Step-by-step explanation:
How many triangles, formed using diagonals, make up the polygon?
In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. Since the interior angles of each triangle totals 180º, the hexagon's interior angles will total 4(180º), or 720º.
polydigangles
This same approach can be taken in an irregular hexagon. The diagonals form four triangles whose interior angles total 180º, giving the hexagon's interior angles a total of 4(180º), or 720º.
irreghexagon
Notice that the sum of the interior angles is the same
for both the regular and the irregular hexagons.
Also notice that we formed 4 triangles in the hexagon (with 6 sides).
polygons3
Yes! There is a pattern!
The number of triangles from 1 vertex will be
2 less than the number of sides, n, of the polygon, or n - 2 triangles.