## The sum of the interior angles of a polygon is 14 × 180 . Work out the number of sides of the polygon.

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The sum of the interior angles of a polygon is 14 × 180 . Work out the number of sides of the polygon.

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Mathematics
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2021-07-16T06:34:42+00:00
2021-07-16T06:34:42+00:00 1 Answers
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## Answers ( )

Answer:Number of sides of the polygon = 16Step-by-step explanation:Sum of the interior angle of a polygon = (n – 2) × 180°

Here, n = Number of sides of the polygon

If sum of the interior angles = 14 × 180°

Therefore, (n – 2) × 180° = 14 × 180°

(n – 2) = 14

n = 14 + 2

n = 16

Number of sides of the polygon = 16