If the sum of interior angles of a polygon is 6 right angles, then the polygon is a ___.

octagon

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pentagon

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hexagon

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decagon

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Solution

The correct option is B
pentagon

Sum of interior angles of a polygon with n-sides = (2n−4)×90°

(2n−4)×90° = 6 right angles

(2n−4)×90° = 6 x 90°

2n - 4 = 6

2n = 10

n = 5

The polygon is a pentagon.

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