Question

ABCD is a quaarllalt
and AD || BC.
n the figure 10.12, if ZBAO = ZDCO and OC = OD, show that AB || CD.
B
A
Fig. 10.12​

Answer 1

Step-by-step explanation:

We know that angle BAO= angle DCO (1)

and, OC=OD

so, angle COD= angle DCO (because angles opposite to equal sides are always equal to each other)

In (1): We can write angle CDO in the place of angle DCO because they both are equal then we will get: angle BAO= angle CDO

These angles are alternate interior angles on the lines AB and CD and are equal so we can say that AB||CD.

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