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Question
How many pairs of adjacent angles are formed when two lines intersect in a point?
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Solution
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:
∠AOC and ∠BOC
∠AOC and ∠AOD
∠BOD and ∠BOC
∠BOD and ∠AOD
Hence, in total four pair of adjacent angles are formed.
RELATED QUESTIONS
In the below fig, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.

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When two straight lines intersect:
(i) adjacent angles are complementary
(ii) adjacent angles are supplementary
(iii) opposite angles are equal
(iv) opposite angles are supplementary
Of these statements
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