Question
In Figure, name each linear pair and each pair of vertically opposite angles.

Answer

Two adjacent angles are said to be linear pair of angles, if their non-common arms are two opposite rays.
$\angle1 \text{ and } \angle2$
$\angle2 \text{ and } \angle3$
$\angle3 \text{ and } \angle4$
$\angle1 \text{ and } \angle4$
$\angle5 \text{ and } \angle6$
$\angle6 \text{ and } \angle7$
$\angle7 \text{ and } \angle8$
$\angle8 \text{ and } \angle5$
$\angle9 \text{ and } \angle10$
$\angle10 \text{ and } \angle11$
$\angle11 \text{ and } \angle12$
$\angle12 \text{ and } \angle9$
The two angles are said to be vertically opposite angles if the two intersecting lines have no common arms.
$\angle1 \text{ and } \angle3$
$\angle4 \text{ and } \angle2$
$\angle5 \text{ and } \angle7$
$\angle6 \text{ and } \angle8$
$\angle9 \text{ and } \angle11$
$\angle10 \text{ and } \angle12$

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