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2025 AMC 10BProblem 5P1-10~2 minPrint
CirclesAngles & PolygonsTriangles: Area & PythagoreanAdd construction lines/points (drop altitudes, extend segments, connect centers)Set up the equation/formula and compute; no special trick needed

In △ABC\triangle ABC , AB=10AB=10 , AC=18AC=18 , and ∠B=130∘.\angle B=130^\circ. Let OO be the center of the circle containing AA , BB , and C.C. What is the degree measure of ∠CAO\angle CAO ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.