Respuesta :
Answer:
If a polygon is a triangle, then it has exactly three sides
Since as have been presented above, the contraposition is true, the original statement must be true
Step-by-step explanation:
The contrapositive statement; If a polygon has more than three sides, then it is not a triangle
We have that the definition of a triangle = A polygon with exactly three sides
Therefore;
A polygon with more than three sides is not a triangle and has (n - 1)/2×180 degrees interior angle, where n = The number of sides
Therefore, when n > 3, (n - 2)/2×180 > 180°
The sum of interior angles of a triangle = 180°
Therefore, the contrapositive statement, if a polygon has more than three sides, then it is not a triangle is true
Therefore, we have;
If a polygon is a triangle, then it has exactly three sides
Since as have been presented above, the contraposition is true, the original statement must be true
