The sum of the interior angles of a polygon is given as 1080°…
The sum of the interior angles of a polygon is given as 1080°, find the number of sides of the polygon.
There is a specific formula for calculating the sum of the interior angles of a polygon, it is given as follows:
Sum of interior angles = 180(n – 2)
Where n = number of sides.
Hence, we have:
1080 = 180(n – 2)
(n – 2) = 1080/180
n – 2 = 6
therefore, n = 6 + 2 = 8
the polygon has 8 sides.
Now for the right answer to the above question:
- Option A is incorrect.
- Option B is incorrect.
- C is incorrect.
- D is the correct answer.
You may please note these/this:
- Always remember that while the sum of exterior angles of a polygon = 360 degrees, the sum of all internal angles of any polygon = 180(n – 2), where n = number of sides.
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/ culled from 2016 JAMB-UTME mathematics past question 7 /