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TOT 106 1985 Autumn S6 <BEA=45^o prove <EHC=45^o

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August 26, 2019
geometryanglesaltitudeangle bisector

Problem Statement

In triangle ABC,AHABC, AH is an altitude (HH is on BCBC) and BEBE is a bisector (EE is on ACAC) . We are given that angle BEABEA equals 45o45^o .Prove that angle EHCEHC equals 45o45^o .
(I. Sharygin , Moscow)
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