Question

如图已知:AB=AE BC=ED ∠B=∠E.求证∠C=∠D 是 五边形 逆时针 字母为 ABCDE

Answer 1

连接AC,AD,

AB=AE,

∠B=∠E,

BC=ED ,

△ABC≌△AED,[SAS]

∠ACB=∠ADE,

AC=AD,

∠ACD=∠ADC,

∠ACB+∠ACD=∠ADE+∠ADC,

∠BCD=∠EDC,(∠C=∠D)