Question

$ABCDE$ is a regular pentagon having all the sides and angles equal. Show that $△ABC\cong △AED$.

Answer 1

Given: $BCDEA$ is a regular Pentgon. All sides and angles are equal

Therefore,

In $△ABC$ and $△AED$,

$1)AB=AE$

$2)BC=ED$

$3)\angle ABC=\angle AED$

$\therefore △ABC\cong △AED$ ($SAS$ congruency)

Hence proved.