Q4 of 11 Page 11

In the adjoining figure, line a || line b. line l is a transversal. Find the measures of ∠x, ∠y, ∠z using the given information.


• 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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