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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.
Solution
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°
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