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- The sum of the interior angles of a polygon is four times the sum of its exterior angles
. The sum of the interior angles of a polygon is four times the sum of its exterior angles
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.
A: 10
B: 12
C: 8
D: 7
Best Answer
Explanation:
The sum of the interior angles of a polygon is four times the sum of its exterior angles.
The sum of the exterior angles of a polygon is always equal to 360°.
The sum of the interior angles of polygon = 180 (n -2)
= > 180 (n - 2) = 4 × 360°
= > n – 2 = 8
= > n = 10
Number of sides in the polygon = 10.
Final Answer:
Hence, the correct option is (a) i.e. 10.
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