http://i952.photobucket.com/albums/a...g/P8260034.jpg

and are three vertices of a polygon as shown above. The reflex angle and the size of the remaining exterior angles are equal to each. Calculate the number of sides this polygon has.

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- Aug 28th 2010, 09:53 PMPunchNumber of sides of a polygon
http://i952.photobucket.com/albums/a...g/P8260034.jpg

and are three vertices of a polygon as shown above. The reflex angle and the size of the remaining exterior angles are equal to each. Calculate the number of sides this polygon has. - Aug 28th 2010, 09:59 PMundefined
- Aug 28th 2010, 10:04 PMPunch
note that not all the exterior angles are equal...

360-222=138

360/53 will not work - Aug 28th 2010, 10:49 PMEducated
To calculate the total angle of all the interior angles added, we use:

a = sum of total internal angles

n = number of sides

Now given the information:

- One internal angle is 138 degrees

- The rest of the internal angles are 127 degrees

Therefore, the total internal angle can be calculated by:

Now use simultaneous equation to solve for n. - Aug 28th 2010, 10:51 PMundefined
- Aug 28th 2010, 10:55 PMundefined
Accidental double post. (I pressed submit once, and then it told me it didn't post because I had to wait 30 seconds between posts, but actually it had posted...)