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Question
Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:
Solution
∠1 + 100°= 180°
⇒∠1 = 180°− 100°= 80° ......... (linear pair)
Lines 1 and 2 will be parallel If ∠1 = 70°
⇒ 80° = 70° which is not true.
∴ ∠1 and ∠2 are not parallel.
∠3 and ∠5 will be parallel If 80° = 70° are corresponding angle which is not true.
∴ ∠3 and ∠5 are not parallel.
But ∠1 = 80° ........ (alternate angles)
⇒ 80° = 80° Which is true.
∴ ∠2 and ∠4 are parallel.
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