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Why don't some regular polygons tessellate?
When a regular polygon can tessellate, it can be placed around a point (which has an angle of 360 degrees) with no 'space' left over. However some regular polygons don't tessellate because their interior angle is not a factor of 360 (does not go into 360 equally), meaning that there will be 'space' left over or it will overlap. To check if a regular polygon can tessellate, see if it's interior angle goes into 360 equally. (360/interior angle), if it does, it will tessellate and if it doesn't it's because the interior angle is not a factor of 360 meaning it will not fit round a point and won't tessellate.
What is the interior and exterior angle of a p sided polygon?
Sum of interior angles = (p-2)*180 degrees Sum of exterior angles = 360 degrees You can go further than that only if the polygon is regular. In that case, all the interior angles are equal and each one is (p-2)*180/p degrees; and all the exterior angles are equal and each is 360/p degrees.
What shapes contain an obtuse angle?
Well the list will go on forever but an obtuse angle is an angle bigger than 90 degrees!
If an angle measures more than 90 degrees then it is a obtuse angle What is the converse of this statment?
The converse statement is that if the angle is an obtuse angle then it measures more than 90 degrees. Does not add much by way of information but there you go!
How much angle is in a circle?
Well, I think if you take the diameter and go around it would be 360 degrees. but a circle doesn't have straight lines for an angle to be measured. That's my guess, but i have no idea, you should research it if you haven't on the web or library. :D Usually the question is asking what is the measure of the central angle and like the previous answerer reply is correct.
