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<APB =<CQD, intersecting circles - All-Russian MO 1998 Regional (R4) 9.2

Source:

September 17, 2024
geometryequal anglescircles

Problem Statement

Two circles intersect at points PP and QQ. The straight line intersects these circles at points AA, BB, CC, DD, as shown in fig. . Prove that APB=CQD\angle APB = \angle CQD. https://cdn.artofproblemsolving.com/attachments/1/a/a581e11be68bbb628db5b5b8e75c7ff6e196c5.png