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Math Help - Right angles in Octagon

  1. #1
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    Right angles in Octagon

    A quadrilateral can have four right angles. What is the largest number of right angles an convex octagon can have?
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  2. #2
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    Hello, Ragi!

    Did you make a sketch?


    A quadrilateral can have four right angles.
    What is the largest number of right angles an convex octagon can have?
    Three . . . it can be done.

    Code:
                            o
                        *       *
                    *               *
                o                       o
              *                           *
            *                               * 
          *                                   *
        o                                       o
       *                                         *
      *                                           *
     *                                             *
    o  90                                     90  o
      *                                           *
        *                                       *
          *                                   *
            *                               *
              *                           *
                *                       *
                  *                   *
                    *               *
                      *           *
                        *  90  *
                          *   *
                            o

    Obviously, there cannot be four right angles.

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