Respuesta :
Answer:
9 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Equating to 1260 gives
180° (n - 2) = 1260 ( divide both sides by 180 )
n - 2 = 7 ( add 2 to both sides )
n = 9
Thus a polygon with 9 sides
A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain. The correct option is C.
What is a polygon?
A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of all the interior angles of an 'n' sided polygon is given by the formula,
Sum of all the interior angles = (n-2) × 180°
Given that the sum of the interior angle is 1260°. Therefore, the number of sides n can be calculated as,
1260° = (n-2) × 180°
7 = n - 2
n = 7 + 2
n = 9
Hence, the number of sides the given polygon has is 9.
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