Question

help me to solve this one

Answer 1

CONSTRUCTION :- JOIN DC AND BE

i) angle CAB = angle BAC
60° + angleBAC = 60° + angleBAC
angleDAB + angleBAC = angleEAC + angleBAC
angleDAC = angleEAB

ii) In ∆ADC and ∆AEB, we have,
1) AD = AB
2) AE = AC
3) angleDAC = angleEAB

.: ∆ADC CONGRUENT TO ∆AEB
Or, DC = BC

HENCE PROVED.