Q. 184.2( 5 Votes )

Find the number of sides of a regular polygon, when each of its angles has a measure of

(i) 160°

(ii) 135°

(iii) 175°

(iv) 162°

(v) 150°

Answer :

(i) 160°


The measure of interior angle A of a polygon of n sides is given by


Angle of quadrilateral is 160°








Therfore number of sides are 18


(ii) 135°


The measure of interior angle A of a polygon of n sides is given by


Angle of quadrilateral is 135°








Therfore numbers of sides are 8


(iii) 175°


The measure of interior angle A of a polygon of n sides is given by


Angle of quadrilateral is 175°








Therfore numbers of sides are 72


(iv) 162°


The measure of interior angle A of a polygon of n sides is given by


Angle of quadrilateral is 162°








Therfore numbers of sides are 20


(v) 150°


The measure of interior angle A of a polygon of n sides is given by


Angle of quadrilateral is 150°








Therfore numbers of sides are 12


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