Question

Prove that the sum of the angles of a hexagon is 720 degree.......

Answer 1

hi mate,

Divide a regular hexagon into two equal trapezium and sum of angels of each trapezium is 360 therefore 2 trapezium = 720 and 720 should be divide into 6 equal parts and it comes out to be 120.

Polygons - Hexagons. So, the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above)...

m of the internal angles of a regular Hexagon is (2.6−4)∗90=720

As there are 6 angles so each angle must be 720/6=120

Another Perspective:In a regular Hexagon there are 6 Triangles each having the sum of the angles as 180 degrees.

So the sum of the Angles of all the 6 triangles is 180∗6 but this contains the central angle of 360 degree so the sum of the internal angles of the hexagon is 180.6−360=720.

As all the angles are same so each angle must be 120 degrees.

i hope it helps you.

Answer 2

Answer:

hii dear

hear is your answer

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