How many pairs of adjacent angles are formed when two lines intersect at a point?

Question:

How many pairs of adjacent angles are formed when two lines intersect at a point?

Solution:

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:

(∠AOD, ∠DOB), (∠DOB, ∠BOC), (∠COA, ∠AOD) and (∠BOC, ∠COA)

Hence, 4 pairs of adjacent angles are formed when two lines intersect at a point.

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