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Question

The measure of each interior angle of a regular convex polygon is 156. Find the number of sides this polygon has.

A
12
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B
10
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C
8
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D
15
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Solution

The correct option is D 15
Let us assume that the required number of sides be n.

We know that
Sum of all the internal angles of polygon =180×(n2)
180×(n2)=156×n180n360=156n180n156n=36024n=360n=36024=15

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