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MathNet 2020 — Math Olympiad Vault — Part 05 Question 68

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 05

Question 68

The vertices of quadrilateral $ABCD$ lie on a circle. Each diagonal bisects one angle and trisects the opposite angle. Find the measures of the quadrilateral’s angles.

Question illustration

Note: We say that ray $OM$ trisects $\angle AOB$ if one of the two angles it determines has one third the measure of $\angle AOB$.