Find the number of sides of a regular polygon whose each exterior angle measures: (i) 40° (ii) 36° (iii) 72° (iv) 30°

Question

Find the number of sides of a regular polygon whose each exterior angle measures: (i) 40&#xB0; (ii) 36&#xB0; (iii) 72&#xB0; (iv) 30&#xB0;

Philoid · Accepted 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°.