Answer :

• Given: Line a || line b, line l is transversal.


• To find: The measure of x, y and z.



In, the figure above


AGE=z


Also,


AGE+EGB=180° (Linear pair)


z+105=180°


z=75°


GHD=x


EGB=GHD(corresponding angles are equal)


x=105°


DHF=y


Also


DHF=GHD (Opposite angles are equal)


DHF=105°


Values of x, y and z are 105° ,105° ,75° respectively.


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