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A regular hexagon has all its angles with the same measure, so each interior angle measures 120°. On the other hand, irregular hexagons have angles with different measures, but they always have a total sum equal to 720°.
Here you will learn about angles of a hexagon, including finding the sum of the interior angles and solving problems involving interior angles and exterior angles. Students will first learn about angles of a hexagon as part of geometry in high school. What are angles of a hexagon?
The word ‘hexagon’ came from the Greek word ‘hex’ meaning ‘six’ and ‘gonia’ meaning ‘corner, angle’. When all the six sides and angles of a hexagon are equal, it is called a regular hexagon.
What is the sum of the interior angles of a hexagon? Summary: The sum of the interior angles of a hexagon is 720°
In a regular hexagon, all sides and angles are equal. The sum of the interior angles of a hexagon is 720°, and each interior angle of a regular hexagon is 120°.
A hexagon can be divided into four triangles, therefore the sum of the interior angles of a hexagon is 180 × 4 = 720. The interior angles in a hexagon sum to 720°.
The sum of interior angles of the four triangles equals the sum of interior angles of the hexagon. Since the sum of the interior angles of a triangle is 180°, the sum of the interior angles of the hexagon is 4 × 180° = 720°.
What is the sum of a hexagon's interior angles? To find the sum of the interior angles of a hexagon, we can use the formula for the sum of interior angles of a polygon, which is: where n is the number of sides. For a hexagon, n = 6. So, the sum of a hexagon's interior angles is 720 degrees.
The sum of the interior angles for any hexagon, regardless of whether it is regular or irregular, is always 720 degrees. This is derived from the general formula for the sum of angles in a polygon: (n - 2) × 180°, where 'n' is the number of sides.
To find the sum of the interior angles of a hexagon, divide it up into triangles... There are four triangles... Because the sum of the angles of each triangle is 180 degrees... We get So, the sum of the interior angles of a hexagon is 720 degrees.