In the adjoining figure, two chords AB and CD of a circle intersect at P. If AB = CD, prove that arc AD = arc CB.
Hint: Minor arc AB = minor arc CD. Subtract minor arc BD from both sides.
Given AB=CD
Now subtract BD from both sides
If equals are substracted from equals the wholes are equal(euclids axiom)
So AD=BC
Now subtract BD from both sides
If equals are substracted from equals the wholes are equal(euclids axiom)
So AD=BC