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.
$(\angle\text{DOB},\angle\text{BOC})$
$(\angle\text{COA},\angle\text{AOD})$
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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