Q. 143.9( 14 Votes )

In the given figure, AB||CD. Find the values of x, y and z.


Answer :

x=105, y=75, z=50


Given AB||CD


Therefore,


AEF = EFG = 75°[Alternate angles]


y = 75°


For CD straight line,


x + y = 180°


x + 75° = 180°


x = 105°


Again,


EGF + 125° = 180°


EGF = 155°


In triangle EFG,


y + z + EGF = 180°


75°+ z + 155°= 180°


z + 130°= 180°


z = 50°


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