Measure of each angle!

Geometry Level 2

What is the measure of each interior angle of a 52-sided regular polygon ?


The answer is 173.07.

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3 solutions

Vaibhav Maurya
Sep 5, 2014

The easiest way is to apply the formula (n-2)*180° /n . The exact value will be " 173.0769230769231° "

Jazeel Ameen
Aug 16, 2014

The general idea is to add 180 degrees to the total sum of interior triangles for every side you add starting with the triangle. So, for a polygon of n sides, the sum of interior angles is (n-2) 180. The value of each individual angle is (n-2) 180/n

Tushar Malik
Aug 15, 2014

Use the formula 180(n-2)/n and then putting the values we get 180(52-2)/52 = 173.07

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