If the ratio of measure of an internal angle to that of an external angle of a regular polygon is 7, then the number of sides that polygon has -

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Solution

The correct option is E
16

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 = 7:1 Solving, we get n = 16

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