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

Question

In Fig 8.116, if l||m||n and &#x2220; 1 = 60&#xB0;, find &#x2220; 2

Philoid · Accepted 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)

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