Question

in this figure <BAO = <DCO and OC = OD show that AB II CD

Answer 1

use the congruent (side angle side) to get the answer

Answer 2

Hello!!

In triangle OCD,

OC = OD ( Given )

Since, angles opposite to the two equal sides, are equal.

=) angle OCD = angle ODC .........(i)

Since, angle BAO = angle DCO

=) Angle BAO = OCD ...........(ii)


From eq (i) and (ii)

Angle BAO = Angle ODC


Now,

Since, angle BAO = angle ODC

i.e. alternate angles are equal.

Hence, AB // CD

Since, if transversal intersects two lines and alternate angles are equal , the the two lines are parallel to each other.

Hope it helps u :)