Mensuration Questions Answers

Mensuration - Quant/Math - CAT 2008

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)

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Solution:


The sum of the exterior angle and interior angle of a regular polygon is 360⁰.

As the measure of each interior angle is 1500, the measure of each exterior angle will be 30⁰.

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 30⁰, the number of sides = 12.