SOLUTION: Prove that the angles between adjacent diagonals at any vertex of an n-sided regular polygon are equal and have the value 180/n.
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-> SOLUTION: Prove that the angles between adjacent diagonals at any vertex of an n-sided regular polygon are equal and have the value 180/n.
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Question 993325: Prove that the angles between adjacent diagonals at any vertex of an n-sided regular polygon are equal and have the value 180/n. Answer by ikleyn(52787) (Show Source):
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It is so because these angles are leaning on equal arcs, and each such arc has the arc measure of 360°/n.
