Question

In fig., given that angle AOC= angle ACO and angle BOD=angle BDO. Prove that
AC || DB​

Answer 1

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$\huge\bold\pink{Answer:-}$

⏩ Given:-

* angle AOC= angle ACO

* angle BOD = angle BDO

⏩ T.P:- AC || DB

⏩Sol. :-

We have,

angle AOC = angle ACO and angle BOD= angle BDO

But,

angle AOC = angle BOD [Vertically opposite angle ]

Therefore,

angle ACO = angle BOD and angle BOD= angle BDO

=> angle ACO = angle BDO

→ Thus, AC and BD are two lines intersected by transversal CD such that angle ACO = angle BDO i.e. alternate angles are equal.

Therefore, AC || DB. [Hence proved]

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Answer 2

Step-by-step explanation:

hope it helps u.....❣️