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Question
Find number of side in a regular polygon, if it exterior angle is: 36
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Solution
Let no. of. sides = n
`therefore 360^circ/"n" = 36^circ`
n = `(360^circ)/(36^circ)`
n = 10
RELATED QUESTIONS
Fill in the blanks :
In case of regular polygon, with :
| No.of.sides | Each exterior angle | Each interior angle |
| (i) ___8___ | _______ | ______ |
| (ii) ___12____ | _______ | ______ |
| (iii) _________ | _____72°_____ | ______ |
| (iv) _________ | _____45°_____ | ______ |
| (v) _________ | __________ | _____150°_____ |
| (vi) ________ | __________ | ______140°____ |
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(ii) its each exterior angle
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(i) ∠BAE
(ii) ∠ABE
(iii) ∠BED
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Three of the exterior angles of a hexagon are 40°, 51 ° and 86°. If each of the remaining exterior angles is x°, find the value of x.
The ratio between the number of sides of two regular polygons is 3 : 4 and the ratio between the sum of their interior angles is 2 : 3. Find the number of sides in each polygon.
Find the number of sides in a regular polygon, if its interior angle is: 150°
Is it possible to have a regular polygon whose interior angle is: 135°
Is it possible to have a regular polygon whose exterior angle is: 36°
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