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प्रश्न
The sum of the interior angles of a polygon is four times the sum of its exterior angles.
Find the number of sides in the polygon.
उत्तर
The sum of the interior angle=4 times the sum of the exterior angles.
Therefore the sum of the interior angles = 4 × 360° =1440°.
Now we have
( 2n - 4 ) x 90° = 1440°
2n - 4 = 16
2n = 20
n = 10
Thus the number of sides in the polygon is 10.
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