Question

In the below fig, l, m and n are parallel lines intersected by transversal p at X, Y and Z
respectively. Find ∠1, ∠2 and ∠3.

Answer 1

From the given figure:

`∠`3 + `∠`m YZ = 180°          [Linear pair]

⇒ `∠`3 = 180° -120°

⇒`∠`3 = 60°

Now line l parallel to m

`∠`1 = `∠`3              [Corresponding angles]

⇒ `∠`1 = 60°

Also m || n

⇒ `∠`2 =120°                   [Alternative interior angle]

∴ `∠`1 = `∠`3 = 60°

`∠`2 = 120°