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Question

If the sum of the interior angles of a convex polygon is (4 180o). What kind of polygon is it?


A

Pentagon

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B

Hexagon

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C

Triangle

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D

Quadrilateral

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Solution

The correct option is B

Hexagon


We know that the sum of the interior angles of a polygon of n sides is equal to (- 2) 180o

Given, that the sum of the interior angles of the polygon is (4 180o).

On comparing, we get,

n - 2 = 4

n = 4 + 2 = 6

Thus, the polygon is a hexagon.


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