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Angles and their Link to the Number of Sides of a Polygon

Given the following measures of a vertex angle of a regular polygon, determine how many sides it has?
a. 150 degrees

b. 156 degrees

c. 174 degrees

d. 178 degrees

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Solution Preview

Solution. Notice that the sum of all angles in regular n-polygon is

(n-2)*Pi. Since all ...

Solution Summary

The link between internal angles and the number of sides of a polygon is shown. A general formula is presented.