Hexagon and a circle

Geometry Level 3

Does there exist a hexagon whose 6 vertices lie on a circle, and whose internal angles are $70^\circ, 90^\circ, 110^\circ, 130^\circ, 150^\circ, 170^\circ$ in some order?

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Hexagon and a circle

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.