Question 39

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waecmaths question: 

Each of the interior angle of a regular polygon is 140o. Calculate the sum of all the interior angles of the polygon

Option A: 

1080o

Option B: 

1260o

Option C: 

1800o

Option D: 

2160o

waecmaths solution: 

The sum of the interior angle and the exterior angle of any polygon is 180

Therefore, each exterior angle will be 180o – 140o = 40o

The total sum of exterior angles of any polygon is 360o

Therefore 40on =360o  {n = number of sides}

n  = 9

The total interior angle is given by (n – 2)180o = (9 – 2)180o =1260o

maths year: