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Each interior angle of a regular polygon...

Each interior angle of a regular polygon is `135^(@)`. Find :
(i) the measure of each exterior angle
(ii) number of sides of the polygon
(iii) name of polygon

Text Solution

Verified by Experts

The correct Answer is:
(i) `45^(@)`
(ii) n = 8
(iii) Octagon
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The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Find the number of sides of the polygon.

The ratio between the interior angle and the exterior angle of a regular polygon is 2: 1. Find : (i) each exterior angle of the polygon. (ii) number of sides in the polygon.

Knowledge Check

  • The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Find the number of sides of the polygon.

    A
    `8`
    B
    `7`
    C
    `5`
    D
    `9`

  • 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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    The interior angle of a regular polygon is 156^0dot Find the number of sides of the polygon.

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    The measure of each interior angle of a regular polygon is five times the measure of its exterior angle. Find : (i) measure of each interior angle, (ii) measure of each exterior angle and (iii) number of sides in the polygon

    The sum of the interior angles of a polygon is five times the sum of its exterior angles. Find the number of sides in the polygon.

    Each interior angle of a regular plygon is 144^(@) . Find the interior angle of a regular polygon which has double the number of sides as the first polygon.

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