In the given figure, `AB||CD` and `EF||GH`. Find the values of x, y, z – InterviewSolution

1.	In the given figure, `AB\|\|CD` and `EF\|\|GH`. Find the values of x, y, z and t.
Answer» Correct Answer - `x=60, y=60, z=70, t=70` `x=60` [vert. opp `angles`] ltbr. `angleQPR=(180^(@)-110^(@))=70^(@)=angleBQS=z^(@)` [corresponding `angles`] `x^(@)+angleQRS=110^(@)` [alt. int. `angles`] `implies 60^(@)+angleQRS=110^(@)` `implies angleQRS=50^(@)`. `x^(@)+angleQRS+t^(2)=180^(@)` [consecutive int. `angles`] `implies 110^(@)+t^(@)=180^(@) implies t=70` `y^(@)+angleQRS+t^(@)=180^(@) implies y^(@)+50^(@)+70^(@)=180^(@) implies y=60`.

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