Q16 of 115 Page 8

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

Since,

l ‖ m and P is transversal


Therefore,


Given that,


l ‖ m ‖ n


∠1 = 60o


∠1 = ∠3 = 60o(Corresponding angles)


Now,


∠3 + ∠4 = 180o(Linear pair)


60o + ∠4 = 180o


∠4 = 120o


Also,


m ‖ n and P is the transversal


Therefore,


∠4 = ∠2 = 120o(Alternate interior angles)


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