SOLUTION: maggie has lots of tiles all in the shape of regular polygons the edges of the tiles have the same length shoe places two 12 sided tiles to meet edge to edge maggie places a differ

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Question 897902: maggie has lots of tiles all in the shape of regular polygons the edges of the tiles have the same length shoe places two 12 sided tiles to meet edge to edge maggie places a different shaped tile with these tiles she finds that the 3 tiles tessellate by calculation find the number of sides of tuis third tile show all workings
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!

The angles between the two 12-sided polygons are made up of 2 exterior angles for the 12-sided polygons.
The measure of each of those exterior angles is 360%5Eo%2F12=30%5Eo ,
so the regular polygon that fits in that space is one with angles measuring 2%2A30%5Eo=60%5Eo ,
and that is an equilateral triangle.

Probably the expected solution involves more formulas and less understanding, but the shorter, simpler solution, involving understanding of the concepts is better.