I've been doing some geometry lately and approached this problem. I need to get an angle between the biggest and shortest diagonals of a Decagon (10 sided polygon). As the book says I will get only 1 point in this task so this is "easy". Is there some formula to calculate the angle between diagonals of an N sided polygon? Or what is the formula in Decagon? Thanks for help.
2026-03-26 01:11:45.1774487505
Angle between the shortest and biggest diagonals of a Decagon.
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Hint: Consider a triangle from two sides of decagon and the shortest diagonal, then find its angles. The angle with you are looking for is half of bigger angle minus smaller angle (draw a picture). Internal angle in this polygon is $\frac{8*180^\circ}{10}$