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Arc Ratios (Posted on 2024-09-02) Difficulty: 2 of 5
On circle there are points A, B and C such that they divide circle in arcs of ratio 3:5:7. Find angles of triangle ABC.

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Solution solution Comment 1 of 1
The arcs are (3/15)*360, (5/15)*360, and (7/15)*360, or 72, 120 and 168 degrees respectively. The angles are half these, as their apexes are on the opposing sides of the circle: 36°, 60° and 84°.
  Posted by Charlie on 2024-09-02 09:16:51
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