What is the sum of interior angles of a polygon of n sides?

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(2 n - 1)

(2 n - 2)

(2 n - 3)

(2 n - 4)

answer is D.

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Detailed Solution

We need to find the sum of interior angles of a polygon of n sides.
The mathematical relation for the sum of all the interior angles of a polygon with ‘n’ sides is given as follows,

n − 2 × 180 °

Now, if we multiply and divide by 2, in the above relation, we get,

22 × n − 2 × 180 ° = 2 (n − 2) 180 ∘ 2 = (2 n − 4) 90 ∘

Now, as we know that an angle measure of

90 ∘

is also known as a right angle, so we can rewrite the above relation as follows,

(2 n − 4) ×

right angles.
Hence, the sum of interior angles of a polygon of n sides

(2 n - 4)

right angles.
Hence, the correct option is (4).

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