Question

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

(i) 40° 

(ii) 36° 

(iii) 72°

(iv) 30°

Answer 1

(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°.