Q. 74.4( 15 Votes )

Find the number of sides of a regular polygon whose each exterior angle measures:

(i) 40° (ii) 36°

(iii) 72° (iv) 30°

Answer :

(i) No. of Sides = 360°/Exterior Angle


= 360/40


= 9


Number of sides is 9 of regular polygon whose exterior angle is 40°.


(ii) No. of Sides = 360° / Exterior Angle


= 360/36


= 10


Number of sides is 10 of regular polygon whose exterior angle is 36°.


(iii) No. of Sides = 360° / Exterior Angle


= 360/72


= 5


Number of sides is 5 of regular polygon whose exterior angle is 72°.


(iv) No. of Sides = 360° / Exterior Angle


= 360/30


= 12


Number of sides is 12 of regular polygon whose exterior angle is 30°.


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