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Find the measure of each exterior angle ...

Find the measure of each exterior angle of a regular polygon of(i) 9 sides (ii) 15 sides

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Sum of all exterior angles of a regular polyfon is `360^@`.
If `n` is number of sides and `x` is its exterior angle. Then,
`nx = 360^@`
(i) Here, `n = 9`
So, Exterior angle, `x = 360/9 = 40^@`

(ii) Here, `n = 15`
So, Exterior angle, `x = 360/15 = 24^@`

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Knowledge Check

  • Find the measure of the exterior angle of a regular dodecagon.

    A
    `15^(@)`
    B
    `30^(@)`
    C
    `36^(@)`
    D
    `144^(@)`

  • If each interior angle of a regular polygon is 144^@ , find the number of sides in it.

    A
    No. of sides =`9`
    B
    No. of sides =`10`
    C
    No. of sides =`11`
    D
    No. of sides =`13`

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