Question

the sum of all the interior angles of a regular polygon is 1260 degree , then the number of sides and diagonals espectively are . class 8 math solution.​

Answer 1

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Step-by-step explanation:

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Answer 2

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Answer:

We know that sum of interior angles of a regular polygon is (n - 2) * 180. (1) Given sum of interior angles = 1260. n = 9. Therefore the number of sides = 9.

Step-by-step explanation:

Regular polygon with interior angle = 156 deg.

It has each exterior angle = 180–156 = 24 deg.

No. of sides in regular polygon = 360/24 = 15.

No. of vertices = 15.

Sum of the interior angles = (15–2)*180 = 13*180 = 2340 deg.

No. of diagonals = 15*(15–3)/2 = 15*6 = 90.

No. of triangles = 13.

No. of isosceles triangles = 15.

Diameter of inscribed circle = s*cot (180/15) = 4.704630109 s, (where s is the side)

Diameter of circumscribed circle = s*cosec (180/15) = 4.809734345 s,