Question

In the figure, angle1 = 60° and angle6 = 120°,
show that the lines m and n are parallel.​

Answer 1

Step-by-step explanation:

Given In the figure ∠1 = 60° and ∠6 = 120°

To show m||n

Proof Since, ∠1 = 60° and ∠6 = 120°

Here, ∠1 = ∠3 [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 lines are parallel.

Hence, m || n

Answer 2

Step-by-step explanation:

ANGLE 1 = 60 ,ANGLE 3 = 60

ANGLE 3 = ANGLE 1 = x

so,60 + x + 60 + x = 360

120 + 2x = 360

2x = 360 - 180

x = 270 /2

x = 135

ANGLE 1 = 135

ANGLE 3 = 135

ANGLE 6 = 120

ANGLE 8 = 120

ANGLE 5 + ANGLE 6 + ANGLE 7 + ANGLE 8

ANGLE 5 = ANGLE 7 = y

y + 120 + y + 120 = 360

2y = 360 - 240

y = 180/2

y =90