Question

In the given figure if <1 = 60 , find <2, <3 and <4
L2
∆1-60°
l
3
<
23
► m​

Answer 1

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Since l parallel to m and is the transversal

∴Given: l || m || n, ∠1 = 60°

To find ∠2

∠1 = ∠3 = 60° [Corresponding angles]

Now,

∠3 and ∠4 are linear pair of angles

∠3 + ∠4 = 180°

60° + ∠4 = 180°

∠4 = 180° - 60°

∠4 = 120°

Also, m || n and P is the transversal

∴∠4 = Ð2 =120° [Alternative interior angle]

Hence ∠2 =120°