# <span lang="EN-US

(i) From the figure, it is clear that AB is parallel to DG and there is a transversal line BC that is intersecting them

Therefore,

DGC = ABC (Corresponding angles)

As, it is given in the question that:

ABC = 70o

Therefore,

ABC = DGC = 70o

Hence,

The value of DGC is equal to 70o

(ii) From the figure, it is clear that BC is parallel to EF and there is a transversal line DE that is intersecting them

Therefore,

DEF = DGC (Corresponding angles)

As, from result of (i) it is clear that:

DGC = 70o

Therefore,

DGC = DEF = 70o

Hence,

The value of DEF is equal to 70o

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