\(CDE\) is an equilateral triangle formed on a side \(CD\) of a square \(ABCD\). Show that \(\triangle ADE \cong \triangle BCE\).
 
YCIND240505_6261_19.png
 
Proof
 
\(\angle\)\(=\) \(\angle ADC + \angle EDC\)
 
\(\angle\) \(=\) \(\angle BCD + \angle ECD\)
 
 
\( =\) = \(150^{\circ}\)
 
\(\triangle ADE \cong \triangle BCE\) \([By Congruence rule]\)
 
Hence Proved