Question

In the figure, if ∠ BAO = ∠ DCO and OC =OD. Show that AB || CD

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

To show : AB ll CD

Given that,

∠BAO = ∠DCO

And, OC = OD.

In ∆COD :

• OC = OD.

Two lines are equal, than ∆COD is isosceles triangle.

And, We know,

If two lines are equal than their opposite angles are also equal.

• ∠DCO = ODC

• ∠BAO = ∠DCO [Given]

⇒∠BAO = ∠ODC [∠DCO = ∠ODC as we show above]

Now,

⋆ If two angles formed on opposite side of transversal are equal. Than, Lines are parallel.

Here, Two angles ∠BAO and ∠ODC are equal which are forming on opposite side of transversal AD.

So, AB || DC

Hence, Proved!!