Question

In the figure, two lines l and m are cut by transversal t. Find whether l || m.​
Give solution for sum number ii. With steps.

Answer 1

Given Question :

In the figure, two lines l and m are cut by transversal t. Find whether l || m.

Give solution for sum number ii. With steps.

Answers :

i ) Let the angle formed along with 130° be x .

Now by linear pair property we have ,

• x + 130 = 180
• x = 180 - 130
• x = 50°

We can see that x is not equal to 40° that is corresponding angle . So the lines are not parallel as if lines l and m are cut by a transversal t and the corresponding angles formed are not equal then we can say that the lines are not parallel .

ii ) Let the angle formed along with 35° be x .

Now by linear pair property we have ,

• x + 35 = 180
• x = 180 - 35
• x = 145

We can see that x is equal to 145 that is corresponding angle . So the lines are parallel as if lines l and m are cut by a transversal t and the corresponding angles formed are equal then we can say that the lines are parallel .

iii ) Let the angle formed along with 60° be x .

Now by linear pair property we have ,

• x + 60 = 180
• x = 180 - 60
• x = 120°

We can see that x is not equal to 120° that is corresponding angle . So the lines are not parallel as lines l and m are cut by a transversal t and the corresponding angles formed are not equal then we can say that the lines are not parallel .