Q. 54.0( 69 Votes )

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Answer :

(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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