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Explanation: The sum of the interior angles of a hexagon must equal 720 degrees. Because the hexagon is regular, all of the interior angles will have the same measure.
of a hexagon must equal 720 degrees. Because the hexagon is regular, all of the interior angles will have the same measure.
Notice that the number of triangles is two less than the number of sides of the original polygon. The angles in each triangle add up to 180°. … So the sum of the angles in the original hexagon is 180° x (n-2) = 180° x 4 = 720°.
Calculate the exterior angles, or the angles outside the hexagon, by dividing 360 by “n,” where “n” equals the number of angles. In this case, you should get 60 degrees. … When adding all exterior angles together, you should get 360 degrees. When adding all interior angles together, you should get 720 degrees.
720°
A nine sided shape is a polygon called a nonagon. It has nine straight sides that meet at nine corners. The word nonagon comes from the Latin word “nona”, meaning nine, and “gon”, meaning sides. So it literally means “nine sided shape”.
General Rule | |
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Sum of Interior Angles of a polygon = | 180 ×(n−2) degrees, where n is number of sides |
Measure of each of the Angle (in a Regular Polygon) = | 180 degrees ×(n−2) / n, where n is the number of sides/. |
https://www.youtube.com/watch?v=SK-cM6y3TQI
Answer: 720 degree. Step-by-step explanation: A hexagon has 6 sides and each measure 120 degree .
The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. … Because the exterior angles are supplementary to the interior angles, they measure, 130, 110, and 120 degrees, respectively. Summed, the exterior angles equal 360 degreEs.
Calculating the exterior angles of regular polygons
Remember the interior and exterior angle add up to 180°.
Regular Polygons
The sum of the exterior angles of a regular polygon will always equal 360 degrees. To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has.
So, the sum of the interior angles of an 11-gon is 1620 degrees. Regular 11-gons: The properties of regular 11-gons: All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1620 degrees (from above)…
I put together 2 trapezoids to make a hexagon. It has 6 sides and 6 vertices. It has 2 equal parts.
A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…
Since these 5 angles form a perfect circle around the point we selected, we know they sum up to 360°. So, the sum of the interior angles in the simple convex pentagon is 5*180°-360°=900°-360° = 540°. It is easy to see that we can do this for any simple convex polygon.
Pentagon | |
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Internal angle (degrees) | 108° (if equiangular, including regular) |
https://www.youtube.com/watch?v=v97GeU4kK4E
A hexagon is a polygon that has six sides. … Many of our words in science and math hearken back to the Greek, and hexagon is no exception. The idea of a six-sided figure comes from the Greek hexágōnon, with gonia meaning “angle,” which makes sense, as a hexagon not only has six sides, but six angles, or vertices.
Answer: The measure of each exterior angle of a regular hexagon is 60 degrees. The sum of the exterior angles of all regular polygons equal 360 degrees….
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