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Angle Sum Property

Find the numb...

Question

Find the number of sides of regular polygon whose measure of each of its interior angle is $\frac{360^{o}}{7}$ .

A

7

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B

8

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C

9

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D

6

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Solution

The correct option is B $7$
Sum of interior angles of a polygon is $360^{o}$ .
Let there be $n$ sides
$\Rightarrow n (\frac{360}{7}) = 360$
$\Rightarrow n = 7$

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