Question

In the adjoining figure line m parallel line n line p and line q are transversal ​

Answer 1

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Step-by-step explanation:

It is given that l is a transversal to lines m and n.

Also, ∠4=110

o

and ∠7=65

o

We need check whether m∥n or not.

We have, ∠7=65

o

.

⇒ ∠7=∠5 [ Vertically opposite angles ]

∴ ∠5=65

o

⇒ ∠4=110

o

Now,

⇒ ∠4+∠5=110

o

+65

o

⇒ ∠4+∠5=175

o

But these are the consecutive interior angles which are not supplementary.

∴ m is not parallel to n

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