The Circumcircle And The Tangents

Geometry Level 1

Two circles $\omega_1$ and $\omega_2$ intersect at points $A$ and $B$ . The tangent to $\omega_1$ passing through $A$ intersects $\omega_2$ at $X$ . The tangent to $\omega_2$ passing through $A$ intersects $\omega_1$ at $Y$ . Let $O$ be the circumcenter of $\triangle XAY$ . Then what is the measure of $\angle OBA$ in degrees?

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The Circumcircle And The Tangents

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.