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  • In the given figures below, decide whether l is parallel to m.

6. In the given figures below, decide whether l is parallel to m.

               In the given figures below, decide whether l is parallel to m.

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(i) In this case. the sum of the interior angle is 126^{\circ}\ +\ 44^{\circ}\ =\ 170^{\circ} thus l is not parallel to m.\

(ii) In this case also l is not parallel to m as the corresponding angle cannot be 75^{\circ}  (Linear pair will not form).

(iii) In this l and m are parallel. This is because the corresponding angle is 57^{\circ} and it forms linear pair with  123^{\circ} .

(iv) The lines are not parallel as the linear pair not form. (Since corresponding angle will be 72^{\circ} otherwise.)  

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Devendra Khairwa

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