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Understanding Quadrilaterals

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3.2

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(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?

5. (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?

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S seema garhwal

The measure of an exterior angle is 22°

Regular polygon has all exterior angles equal.

Sum of exterior angles of a polygon = $360\degree$

Let number of sides be X.

Sum of exterior angles of a polygon = $X \ast 22\degree =$ $360\degree$

Exterior angles of 15 sided polygon $= X= 360\degree \div 22\degree$

$X= 16.36$

Hence,side of a polygon should be an integer but as shown above side is not a integer.So,it is not possible to have a regular polygon with measure of each exterior angle as 22 $\degree$ .

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