Question

In the figure, ∠1 = 60° and ∠6 = 120°. Show that the lines m and n are parallel.​

Answer 1

Answer:

Yes both the lines m and n are parallel

Step-by-step explanation:

As given in the question that <1 = 60° so < 2 will be equal to 180° -60 °= 120°.

Hence <2 becomes equal to <6. <2= <6

Hence if these angles are equal then both the lines m and n are parallel

Answer 2

Answer:

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Step-by-step explanation:

Given in the figure angle 1=60° and angle 6=120°

To show m||n

Proof since, angle 1=60° and angle 6=120°

Here, angle 1=angle 3 [vertically opposite angles]

60°=angle 3

i.e. angle 3=60°

Now, angle 3 + angle 6 = 60°+120°=180°

We know that, if the sum of two interior angles of same side of l is 180°, then the lines are parallel.

Hence, m||n.