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RE: Brainsteem Mathematics Challenges: Angles in a Pentagon
The largest angle is 112 degrees.
The first step is knowing that the sum of the interior angles of a n-sided polygon adds up to 180(n-2) degrees.
For a pentagon, that is 540 degrees, with an average interior angle of 108 degrees. Since we want a sequence of consecutive even numbers, that sequence is 104, 106, 108, 110, 112.
:-)
Have just posted this extension: Brainsteem Mathematics Challenges: Even Angles in a Polygon.
Agreed that 112 degrees is the largest interior angle of the said pentagon.
This sounds interesting @rycharde!
Thanks, have you tried the extension?