Question
How many pairs of adjacent angles are formed when two lines intersect in a point?
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Answer
Four pairs of adjacent angles will be formed when two lines intersect at a point. Considering two lines $AB$ and $CD$ intersecting at $O$. The $4$ pairs are: $(\angle\text{AOD},\angle\text{DOB})$ $(\angle\text{DOB},\angle\text{BOC})$ $(\angle\text{COA},\angle\text{AOD})$ And $(\angle\text{BOC},\angle\text{COA})$ Hence, $4$ pairs of adjacent angles are formed when two lines intersect at a point.
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