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Find the measure of exterior angle of a regular polygon of 9 sides

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40∘

60∘

50∘

30∘

answer is A.

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Detailed Solution

From the above question we are given a regular polygon of 9 sides.
Now, to find the measure of the exterior angle of the regular polygon, we will use the formula

\frac{360 \circ}{n}

, where n is the number of sides of the polygon.
Now, we have n which is equal to 9.
Substituting the value of n in the given formula,
⇒

\frac{360 \circ}{n}

⇒

\frac{360 \circ}{9}

= 40∘
⇒40∘
Hence, the exterior angle of a regular polygon with 9 sides is 40∘ .
Hence, the correct option is 1.

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