The Circumcircle And The Tangents

Geometry Level 1

Two circles ω1\omega_1 and ω2\omega_2 intersect at points AA and BB. The tangent to ω1\omega_1 passing through AA intersects ω2\omega_2 at XX. The tangent to ω2\omega_2 passing through AA intersects ω1\omega_1 at YY. Let OO be the circumcenter of XAY\triangle XAY. Then what is the measure of OBA\angle OBA in degrees?

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