
The sum of the exterior angles of a hexagon is:
(A)
(B)
(C)
(D) None of these
Answer
509.7k+ views
Hint: Hexagon is a polygon having six sides. Sum of its interior angles is . But the sum of exterior angles of any polygons is irrespective of the number of sides in the polygon.
Complete step-by-step answer:
A hexagon is a polygon consisting of six sides. The total of the internal angles of a hexagon is .
If the hexagon is a regular hexagon, all the six sides of it are equal and all the six internal angles are also equal. And the measure of each angle is .
While the sum of interior angles of a polygon varies with the number of sides in a polygon, the sum of exterior angles remains the same for all polygons and it is .
In our case, if the hexagon is a regular hexagon, all the six exterior angles will be equal and each of them will measure . But if it is not regular, their values will differ. But the sum will always be the same which is .
Therefore, in the figure:
(A) is the correct option.
Note: Sum of the interior angles of a polygon is determined by the formula where is the number of sides in the polygon. And the sum of exterior angles is irrespective of the number of sides in the polygon.
Complete step-by-step answer:

A hexagon is a polygon consisting of six sides. The total of the internal angles of a hexagon is
If the hexagon is a regular hexagon, all the six sides of it are equal and all the six internal angles are also equal. And the measure of each angle is
While the sum of interior angles of a polygon varies with the number of sides in a polygon, the sum of exterior angles remains the same for all polygons and it is
In our case, if the hexagon is a regular hexagon, all the six exterior angles will be equal and each of them will measure
Therefore, in the figure:
(A) is the correct option.
Note: Sum of the interior angles of a polygon is determined by the formula
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