Choose the mathematical relation which is not true for an exterior angle of a regular polygon with n sides?

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Each exterior angle

= 360 ° n

Exterior angle

= 180 °

- interior angle

n = 360 ° exterior angle

Each exterior angle

= (n − 2) × 180 ° n

answer is D.

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Detailed Solution

We need to find a mathematical relation which is not true for an exterior angle of a regular polygon with n sides.
We know that a regular polygon is the one with all side lengths and angle measures being equal.
Now, in context of a regular polygon with n sides, we know that the measure of an interior angle is given by

(n − 2) × 180 ° n

But, in the option, this relation is mentioned for an exterior angle measure of the regular polygon, which is not true.
Hence, the correct option is (4).

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