Question
How many pairs of adjacent angles are formed when two lines intersect in a point?
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Answer
Let us draw the following diagram showing two lines AB and CD intersecting at a point O. 
We have the following pair of adjacent angles, so formed:$\angle\text{AOC}$ and $\angle\text{BOC}$
$\angle\text{AOC}$ and $\angle\text{AOD}$
$\angle\text{BOD}$ and $\angle\text{BOC}$
$\angle\text{BOD}$ and $\angle\text{AOD}$
Hence, in total four pair of adjacent angles are formed.
We have the following pair of adjacent angles, so formed:$\angle\text{AOC}$ and $\angle\text{BOC}$$\angle\text{AOC}$ and $\angle\text{AOD}$
$\angle\text{BOD}$ and $\angle\text{BOC}$
$\angle\text{BOD}$ and $\angle\text{AOD}$
Hence, in total four pair of adjacent angles are formed.
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