Question

AOB is a line segment,OC,OD are also line segment.find the value of A

Answer 1

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Answer 2

Answer:

Given: AB = CD ; O is the mid - point .

To proof : ABC is congruent to DOC

Proof : IN triangle AOB and DOC ,

AB = CD ( given )

<OAB = <ODC ( alternate interior angles )

<AOB = <DOC ( vertically opposite angles )

Therefore , triangle AOB is congruent to DOC (ASA rule )

OB = OC ( C.PC.CT)

Hence , O is also the mid point of BC