The ratio of the measure of an internal angle to that of an external angle of a regular polygon having 12 sides is -

3:1

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4:1

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6:1

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5:1

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7:1

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Solution

The correct option is D
5:1

Measure of interior angle of a n sided regular polygon = $\frac{(n - 2) 180^{0}}{n}$ Measure of exterior angle of a n sided regular polygon = $\frac{2 {\times 180}^{0}}{n}$ Ratio = 5 : 1

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Find the measure of each internal angle if the ratio of the measure of an internal angle to that of an external angle of a polygon is 13:2.

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