Question

tell me this answer fast​

Answer 1

Step-by-step explanation:

Let us consider the angles on the line PQ. So, we get ∠POB+∠BOQ=180∘.

⇒∠POQ=180∘−∠POQ ---(1).

Now, let us consider the angles on the line AB. So, we get ∠POB+∠AOP=180∘ ---(2).

Let us substitute equation (2) in equation (1).

So, we get 180∘−∠POQ+∠AOB=180∘.

⇒∠AOB=180∘−180∘+∠POQ.

⇒∠AOB=∠POQ.

From the figure, we can see that the angles ∠POQ=∠AOB

So, we have proved that if two lines intersect each other, then the vertically opposite angles are equal

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