Question

9. In the given figure L 1=60º andl 6-1200 Show that lines m and n are parallel and find
the remaining angles.
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Answer 1

Step-by-step explanation:

According to the question,

We have from the figure ∠1 = 60° and ∠6 = 120° Since, ∠1 = 60° and ∠6 = 120°

Here, ∠1 = ∠3 [since they are vertically opposite angles] ∠3 = ∠1 = 60°

Now, ∠3 + ∠6 = 60° + 120°

⇒ ∠3 + ∠6 = 180°

We know that,

If the sum of two interior angles on same side of l is 180°, then the lines are parallel.

Therefore, m || n

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