In the diagram, which angle is part of a linear pair and part of a vertical pair?

BFC, CFG, GFD, EFA

Solution:

When two lines intersect each other at a single point, a linear pair of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.

Vertical angles are a pair of nonadjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

From the given figure, Intersecting lines are AFD and BFE .

Hence, possible linear pair of angles are

∠AFE and ∠EFD or ∠AFG and ∠GFD

∠AFB and ∠BFD or ∠AFC and ∠CFD

∠AFB and ∠AFE or ∠BFC and ∠CFE

∠BFD and ∠DFE or ∠BFG and ∠GFE

And vertical pair of angles possible are

∠AFB and ∠EFD

∠AFE and ∠BFD

From the given options none of the pairs form either linear pair or vertical pair. But, the remaining possible pairs of linear and vertical pairs of angles are listed.

In the diagram, which angle is part of a linear pair and part of a vertical pair?

Summary:

From the given options none of the pairs form either linear pair or vertical pair.