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intersecting circles are seen from intersection of tangents under same angle.

Source: 2003 Romania JBMO TST2 p2

May 23, 2020
geometryequal anglescirclesTangents

Problem Statement

Two circles C1(O1)C_1(O_1) and C2(O2)C_2(O_2) with distinct radii meet at points AA and BB. The tangent from AA to C1C_1 intersects the tangent from BB to C2C_2 at point MM. Show that both circles are seen from MM under the same angle.
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