What is the degree measure of an internal angle of a polygon with 12 s

Question

What is the degree measure of an internal angle of a polygon with 12 sides, all equal in length?

A. 30 degrees
B. 60 degrees
C. 120 degrees
D. 135 degrees
E. 150 degrees

Archit3110 · Answer

interior angle ; 180-360/no of sides
180-360/12 ; 150
IMO E

newyork2012 · Answer

(12-2)*180/12=150

Posted from my mobile device

SaikatRoy · Answer

We know that internal angle of any polygon is given by ({N-2} X 180)/ N
where N is the number of sides of the polygon.

Hence for N=12, internal angle of the polygon is (12-2)x180/12=150.

Or, answer is Option E.

EgmatQuantExpert · Answer

Solution

Given  
In this question, we are given that
 • A polygon with 12 sides, all equal in length

To find  
We need to determine
 • The degree measure of an internal angle of that polygon

Approach and Working out  
For a regular polygon with n number of sides, sum of all the internal angles = (2n – 4) x 90
Here, n = 12
 • Hence, sum of all angles = (2 x 12 – 4) x 90 = 1800
• Therefore, measure of each angle = 1800/12 = 150

Thus, option E is the correct answer.

Correct Answer: Option E

What is the degree measure of an internal angle of a polygon with 12 s

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What is the degree measure of an internal angle of a polygon with 12 s

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