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Question
Find the number of sides in a regular polygon, if its interior angle is: 150°
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Solution
Let no.of.sides of regular polygon be n.
Each interior angle = 150°
`therefore (("2n" - 4) xx 90^circ)/"n" = 150^circ`
180n - 360° = 150n
180n - 150n = 360°
30n = 360°
n = 12
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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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