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max angle of triangle by touchpoints of incircle 2015 BMT Individual 7

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January 3, 2022
geometryincircleangles

Problem Statement

In △ABC \vartriangle ABC, ∠B=46o\angle B = 46^o and ∠C=48o\angle C = 48^o . A circle is inscribed in △ABC \vartriangle ABC and the points of tangency are connected to form PQRPQR. What is the measure of the largest angle in △PQR\vartriangle P QR?
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