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What is the general formula to count the sum of all the interior angles of a polygon with ‘n’ number of sides?

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in Mathematics – Class 8 by (91.0k points)
What is the general formula to count the sum of all the interior angles of a polygon with ‘n’ number of sides?

(a) 180°

(b) 360°

(c) 90°

(d) 720°

I got this question during a job interview.

My question is based upon Quadrilaterals topic in portion Quadrilaterals of Mathematics – Class 8

1 Answer

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Right choice is (a) 180°

For explanation: The general formula for the sum total of all the interior angles of any polygon is (n-2)180°. For example: As we know that the sum of all the interior angles of any triangle is 180°.

So, now we can recheck it with the above formula. Sum of interior angles=(n-2)180°

Any triangles have three sides so n=3.

∴ Sum of interior angles=(3-2)180°

∴ Sum of interior angle=180°.

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