# Hexagon interior angles - Interior Angles

So for a polygon with N sides, there are N vertices and N interior angles.

Think: concave has a "cave" in it Convex Hexagon Concave Hexagon Is it a Hexagon? Regular polygon has all interior angles equal.

Since n is not an integer, it is not possible to have a regular polygon with each interior angle equal to 100°.

Since both angles are equal, we have to divide by 2 to get the value of one angle.

It is equal to 180 × 25, which is 4500°.

Description: The perimeter of any polygon is simply the sum of its its sides.

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Explanation: The sum of the exterior angles of any polygon, one per vertex, is.
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Let number of sides and number of interior angles be n.

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+97reps
When we have a regular hexagon, we can determine the measures of each interior angle by dividing the total sum of angles by 6. This is possible because all interior angles in a regular polygon have the same measure. Therefore, we have: 720°÷6 = 120° Each interior angle in a regular hexagon has a measure equal to 120°.
+137reps
Internal angles of a hexagon The sum of the interior angles of a hexagon equals 720°. As shown in the figure above, three diagonals can be drawn to divide the hexagon into four triangles. The blue lines above show just one way to divide the hexagon into triangles; there are others.
+155reps
A regular hexagon has 6 equal exterior and 6 equal interior angles. The sum of the exterior angles is 360 deg, hence each exterior angle is 360/6 = 60. The interior angle being supplementary of the exterior, its value will be 180–60 = 120 deg.
+91reps
Let's calculate the sum of the interior angles of a hexagon, using the sum of interior angles formula S = 180(n-2)°, where n is the number of sides in a polygon. Here, n is 6 as the hexagon has 6 sides. Hence, sum is 180(n-2)° = 180(6-2) = 180 × 4 = 720°. Thus, the sum of the interior angles of a hexagon is 720°.