There's a pentagon, not necessarily regular, with integral sides, and a point within it from which lines are drawn to each of the pentagon's vertices. Each of these five lines from the internal point is a different integral length less than 25, and their angles with each other at that internal point are an integral number of degrees, none of which is 90.
How long are the lines and the sides of the pentagon? What is its total perimeter?
21-5-8-15-24, with an angle of 120 between the two "end" sides.
The perimeter of the pentagon is 99.
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