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Question
Is it possible to have a regular polygon whose exterior angle is: 100°
Solution
Let no. of. sides = n
Each exterior angle = 100°
= `360^circ/"n" = 100^circ`
∴ n = `360^circ/100^circ`
n = `18/5`
Which is not a whole number.
Hence, it is not possible to have a regular polygon whose each exterior angle is 100°.
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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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