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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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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
3 years
2021-07-16T06:34:42+00:00
2021-07-16T06:34:42+00:00 1 Answers
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Answer:
Number of sides of the polygon = 16
Step-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