Question 27


Prev/Next links

Jambmaths question: 

What is the size of each interior angle of a 12–sided regular polygon? 

Option A: 


Option B: 


Option C: 


Option D: 


Jamb Maths Solution: 

Method 1

The total exterior angle of a polygon is 360o

Each exterior angle of a duo-decagon (12- sided polygon) =$\frac{{{360}^{\circ }}}{12}={{30}^{\circ }}$

The interior angle = 180o – 30o = 150o (sum of angles on a straight)


Method 2

The total angle in a regular polygon is given by (n – 2) 180o

For a 12 sided polygon

The total angle will be (12 – 2)180o =1800o

Each interior angle will be $\frac{{{1800}^{\circ }}}{12}={{150}^{\circ }}$

Answer : Option C


Year of Exam: