MathDB
<A=33^o, CD = 2AB, AD_|_ AC

Source: II Soros Olympiad 1995-96 R3 9.5 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics

June 4, 2024
geometryangles

Problem Statement

Angle AA of triangle ABCABC is 33o33^o. A straight line passing through AA perpendicular to ACAC intersects straight line BCBC at point DD so that CD=2ABCD = 2AB. What is angle CC of triangle ABCABC? (Please list all options.)