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collinearity wanted, <BCD = 35^o, <BAD = 40^o, arc BD=70^o.

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2014 3.1

October 1, 2021
geometryanglescollinear

Problem Statement

Consider the following figure where ACAC is tangent to the circle of center OO, ∠BCD=35o\angle BCD = 35^o, ∠BAD=40o\angle BAD = 40^o and the measure of the minor arc DEDE is 70o70^o. Prove that points B,O,EB, O, E are collinear. https://cdn.artofproblemsolving.com/attachments/4/0/fd5f8d3534d9d0676deebd696d174999c2ad75.png
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