Question

Ab = cd and angle ABO = angle CDO
p.t. traingle abo is congruent to traingle cdo​

Answer 1

Since angle ABO = angle CDO

AB and CD must be parallel.

And since AB=CD, ABCD is a parallelogram.

Similarly, angle BAC = Angle ACD

(parallel lines)

Hence ∆ABO is congruent to ∆CDO by AAS criterion.

Answer 2

AAS congruency is applied here

ab=cd

angleABO=angleCDO

angleAOB=angleCOB (vertically opp.angles)

hope it helped.