Question

is it possible to have a polygon ,the sum of whose interior angles is 9 right angle
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Answer 1

Answer:

No, it is not possible to have a polygon with sum of interior angles is 9 right angles

the polygon with sum of 4 right interior angle is possible

Step-by-step explanation:

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Answer 2

No, it is not possible to have a polygon with the sum of all of the interior angles to be 9 right angles.

• For a polygon, the sum of all interior angles is (n-2) 180°, where 'n' is the number of sides of the polygon.
• The value of 'n' has to be a whole number for the shape to be a polygon.
• Let us assume, the sum of all interior angles = 9× 90° = 810°

        So, (n-2) 180° = 810° ⇒ n = 13/2 = 6$\frac{1}{2}$

• As the value of 'n' is not a whole number. Therefore, a polygon with the sum of all interior angles to be 9 right angles cannot be formed.