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Bibliographic Details
Main Authors: Kong, Yong, Zhang, Shaowei
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.02352
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Table of Contents:
  • In the "classical" adventitious angle problem, for a given set of three angles $a$, $b$, and $c$ measured in integral degrees in an isosceles triangle, a fourth angle $θ$ (the derived angle), also measured in integral degrees, is sought. We generalize the problem to find $θ$ in fractional degrees. We show that the triplet $(a, b, c) = (45^\circ, 45^\circ, 15^\circ)$ is the only combination that leads to $θ= 7\frac{1}{2}^\circ$ as the fractional derived angle.