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In the diagram below, AD = AE, BA || CE, CB || DA andmDAE=56º. Find mBCD

 

 Aug 19, 2020
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AD=AE\(\Rightarrow\) triangle ADE is an isosceles triangle. \(\Rightarrow\) angle ADE= angle AED=(180-56)/2=62 degrees

BA || CE \(\Rightarrow\) angle BAD = angle ADE = 62 degrees

BA || CE \(\Rightarrow\) BA || CD and CB || DA by given \(\Rightarrow\)quadrilateral BCDA is a parallelgram

angle BCD = angle BAD = 62 degrees (opposite angles of parallelgram are equals) 

 Aug 19, 2020

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