Q. 163.8( 4 Votes )

# In Fig 8.116, if *l||m||n* and ∠1 = 60°, find ∠2

Answer :

Since,

l ‖ m and P is transversal

Therefore,

Given that,

l ‖ m ‖ n

*∠**1 = 60 ^{o}*

*∠**1 =* *∠**3 = 60 ^{o}*(Corresponding angles)

Now,

*∠**3* + *∠**4 = 180 ^{o}*(Linear pair)

*60 ^{o} +*

*∠*

*4 = 180*

^{o}*∠**4 = 120 ^{o}*

Also,

m ‖ n and P is the transversal

Therefore,

*∠**4 =* *∠**2 = 120 ^{o}*(Alternate interior angles)

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