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The sum of the interior angles of a polygon is given as 1080°…

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MATHS

The sum of the interior angles of a polygon is given as 1080°, find the number of sides of the polygon.

A. 5

B. 6

C. 7

D. 8

QUICK ANSWER…

D

SOLUTION 

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:

  1. Option A is incorrect.
  2. Option B is incorrect.
  3. C is incorrect.
  4. D is the correct answer.

QUICK TIPS…

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 /

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