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Can you solve these?
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 Apr 25, 2024
 #1
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1.   At the vertex of a polygon, the sum of the exterior angle and the interior angle is 180o.   

 

      Since the interior angle is 12 times the exterior angle, the exterior angle has to be 15o.  

 

      The sum of all exterior angles of a polygon is 360o, irrespective of the number of sides.  

 

       Therefore, the polygon has 360 / 15 = 24 vertices.   

 

       We shall presuppose that a polygon has the same number of sides as it has vertices,    

 

       Therefore, this polygon has 24 sides.    

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 Apr 26, 2024

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