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| Math Central | Quandaries & Queries |
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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:
- A square is defined as a particular kind of rectangle.
- 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.
- Therefore the sum of the interior angles of a square is 90 + 90 +
90 + 90 = 360.
Q.E.D.
Stephen La Rocque>
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