
Mensuration  Quant/Math  CAT 2013
Question 4 the day:
June 24, 2003
The question for the day is from the topic of Mensuration.
 If each interior angle of a regular polygon is 150 degrees, then it is
(1) 
Octagon 
 
(2) 
Decagon 
(3) 
Dodecagon 
 
(4) 
Tetrahedron 
Correct Answer  (3)
Solution:
The sum of the exterior angle and interior angle of a regular polygon is 360^{0}.
As the measure of each interior angle is 1500, the measure of each exterior angle will be 30^{0}.
The number of sides of a regular polygon is given by the following relationship n = 360/exterior angle
As the value of each exterior angle is 30^{0}, the number of sides = 12.



