Jambmaths question:
What is the size of each interior angle of a 12–sided regular polygon?
Option A:
30o
Option B:
180o
Option C:
150o
Option D:
120o
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
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