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Question

Each interior angle of a regular polygon is 150° . How many sides does it have ?


A

10

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B

11

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C

12

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D

8

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Solution

The correct option is C

12


As we know that the measures of each interior angles of a polygon having n sides is=(n2)×180n

Now the measure of given interior angle is =150°

150°=(n2)×180n150n=180n-360n=36030=12
Thus, the number of sides of a regular polygon is 12.

Hence, option C is the correct option.


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