Question

Find the number of sides in a regular polygon, if its each exterior angle is: (I) 1/3 of a right angle (ii) two-fifths of a right angle

Answer 1

Answer:

i. 12

ii. 10

Step-by-step explanation:

i.

Each exterior angle = 1/3 × 90° = 30°

No. of sides = 360°/30° = 12

ii.

Each exterior angle = 2/5 × 90° = 36°

No. of sides = 360°/36° = 10

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Answer 2

Answer:

प्रत्येक बाह्य कोण = समकोण का

= x 90

= 30°

माना भुजाओं की संख्या = n

360°/n = 30°

एन = 360°/30°

एन = 12

(ii) प्रत्येक बहिष्कोण = समकोण का 2/5/5

= (2/5) × 90°

= 36°

माना भुजाओं की संख्या = n

360°/n = 36°

एन = 360°/36°

एन = 10