Math CentralQuandaries & Queries


Question from victor, a student:

can you please send to me a formalize proof for the assertion that, the sum of angles in a square is three hundred and sixty degrees. i will be grateful to hear from you

I suppose the easiest proof is by using definitions definition:

  1. A square is defined as a particular kind of rectangle.

  2. A rectangle is defined as a closed planar quadrilateral where
    opposite sides have the same length and each of the four interior
    angles is 90 degrees.

  3. Therefore the sum of the interior angles of a square is 90 + 90 +
    90 + 90 = 360.


Stephen La Rocque>

About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS