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ABC=90^o, BCD=30^o, AB = CD, BC = 2AD, prove BAD=30^o

Source: IGO 2015 Elementary 3

July 22, 2018
geometryElementaryangles

Problem Statement

In the figure below, we know that AB=CDAB = CD and BC=2ADBC = 2AD. Prove that BAD=30o\angle BAD = 30^o. https://3.bp.blogspot.com/-IXi_8jSwzlU/W1R5IydV5uI/AAAAAAAAIzo/2sREnDEnLH8R9zmAZLCkVCGeMaeITX9YwCK4BGAYYCw/s400/IGO%2B2015.el3.png