The Septagon Maximal?
Geometry
Level
pending
What is the maximum number of interior right angles that can be used inside to form an irregular septagon ?
3
6
4
5
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1 solution
A septagon (aka heptagon) has an interior angle sum of 1 8 0 ( 7 − 2 ) = 9 0 0 degrees. If six right angles are used, then we obtain a balance of 9 0 0 − 6 ( 9 0 ) = 3 6 0 degrees for the last remaining interior angle ⇒ NOT POSSIBLE. Thus, the maximum is 5 right angles.