Question

In the figure transversal cuts two lines m and n. If 1 = 110°, 5 = 70°. Find 2, 3 and 4. Show that m || n

Answer 1

Answer:

⇒  ∠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